Factors of 9 are the real numbers that can be divided by the original numbers only. As we knew about it that 9 is a complex number. so, it has more than two factors. as well as 9 is a perfect square such as, 9 = 3 x 3 = 32.
Explanation:
We get factors of 9 numbers by finding numbers that can divide 9 without remainder or alternatively numbers that can multiply together to equal the target number being converted.
In considering numbers then can divide 9 without remainders. So we start with 1, then check 2,3,4,5,6,7,8,9, etc and 9
Getting factors is done by dividing 9 with numbers lower to it in value to find the one that will not leave the remainder. Numbers that divide without remainders are the factors.
Factors are whole numbers or integers that are multiplied together to produce a given number. The integers or whole numbers multiplied are factors of the given number. If x is multiplied by y = z then x and y are factors of z.
if for instance, you want to find the factors of 20. You will have to find a combination of numbers that when it is multiplied together will give 20. Example here is 5 and 4 because when you multiplied them, it will give you 20.
So they are factors of the given number 20. Also 1 and 20, 2 and 10 are factors of 20 because 1 x 20 = 20 and 2 x 10 = 20. The factors of the given integer number 20 are 1, 2, 4, 5, 10, 20
To calculate factors, you will enter positive integers, because the calculator will only allow positive values, to calculate factors of a number.
If you need to calculate negative numbers, you enter the positive value, get the factors and duplicate the answer yourself with all the given positive factors as negatives like as -5 and -6 as factors of number 30. On the other hand, this calculator will give you both negative factors and positive integers for numbers. For instance, -2 , -3,-4 etc.
factors are like division in maths because it gives all numbers that divide evenly into a number with no remainder. an example is the number 8. which is evenly divisible by 2 and 4, which means that both 2 and 4 are factors of number 10.
How to find the factor of 9?
The factor of any number can be defined as the natural number that can be divided by only the original number, without any reminder.so, there are just 9 natural numbers from 1 to 9.
for checking factors, we need to divide 9 by each and every counting number and then check if it is a whole number or fraction.
9 ÷ 1 = 9 [Whole number]
9 ÷ 2 = 4.5 [Fraction]
9 ÷ 3 = 3 [Whole number]
9 ÷ 4 = 2.25 [Fraction]
9 ÷ 5 = 1.8 [Fraction]
9 ÷ 6 = 1.5 [Fraction]
9 ÷ 7 = 1.285… [Fraction]
9 ÷ 8 = 1.125 [Fraction]
9 ÷ 9 = 1 [Whole number]
Hence, we can say that only 1, 3, and 9 are the factors of 9.
Pair Factor of 9:
When we will come to the pair factor of 9, we must need to know that we’ll get the prime factor by multiply two numbers in a pair. Prime numbers are the numbers that can be divided by the original number.
For finding the pair factor, we need to multiply the two numbers in a pair, so that we will get a pair factor of 9.
1 × 9 = 9
3 × 3 = 9
List of positive and negative factors:
Factors of 9 are the list of integers that we can divide into 9. There is a total of 3 factors of 9, in which 9 is the biggest factor and the positive factors of 9 are 1, 3, and 9. The sum of all factors of 9 is 13 and its factors in Pairs are:
(1, 9) and (3, 3).
- Factors of 9: 1, 3 and 9
- Negative Factors of 9: -1, -3 and -9
- Prime Factors of 9: 3
- Prime Factorization of 9: 3 × 3 = 32
- Sum of Factors of 9: 13
FACTOR 9 by prime factorization:
In the prime factorization method, we divide 9 by prime numbers and see if it does not give any remainder. then we can continue the division method with the quotient. In this way, 9 is expressed as a product of its prime factors. We can find the prime factors by the division method or the factor tree method.
Prime Factorization of 9 by Division Method:
The number 9 is divided by the smallest prime number which can divide 9. Thus, The quotient obtained is then divided by the smallest or second smallest prime number and the process continues till the quotient is equal to 1.
- Let’s divide 9 by the prime number 3, 9 ÷ 3 = 3
- Since 3 is the smallest odd prime number, it cannot be further divided.
- Thus, the factors of 9 are 3 and 9.
Prime factorization of 9 is 9 = 3 × 3.
Solved Example:
- Example: Nick was playing a math game with his friends. In the game, he was asked to find the factors of 9. What will be his answer?
Solution:
9 is a complex number. Therefore the factors of 9 are 1, 3, and 9.
Greatest common factor of 9:
The factors of 9 are 1, 3, 9.
Hence, the Greatest Common Factor (GCF) of 9 and 7 is 1.
Factors Table and Chart from 1 to 200
Number | Factors of a number |
---|---|
Factors Of 1 | 1 |
Factors Of 2 | 1, 2 |
Factors Of 3 | 1, 3 |
Factors Of 4 | 1, 2, 4 |
Factors Of 5 | 1, 5 |
Factors Of 6 | 1, 2, 3, 6 |
Factors Of 7 | 1, 7 |
Factors Of 8 | 1, 2, 4, 8 |
Factors Of 9 | 1, 3, 9 |
Factors Of 10 | 1, 2, 5, 10 |
Factors Of 11 | 1, 11 |
Factors Of 12 | 1, 2, 3, 4, 6, 12 |
Factors Of 13 | 1, 13 |
Factors Of 14 | 1, 2, 7, 14 |
Factors Of 15 | 1, 3, 5, 15 |
Factors Of 16 | 1, 2, 4, 8, 16 |
Factors Of 17 | 1, 17 |
Factors Of 18 | 1, 2, 3, 6, 9, 18 |
Factors Of 19 | 1, 19 |
Factors Of 20 | 1, 2, 4, 5, 10, 20 |
Factors Of 21 | 1, 3, 7, 21 |
Factors Of 22 | 1, 2, 11, 22 |
Factors Of 23 | 1, 23 |
Factors Of 24 | 1, 2, 3, 4, 6, 8, 12, 24 |
Factors Of 25 | 1, 5, 25 |
Factors Of 26 | 1, 2, 13, 26 |
Factors Of 27 | 1, 3, 9, 27 |
Factors Of 28 | 1, 2, 4, 7, 14, 28 |
Factors Of 29 | 1, 29 |
Factors Of 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
Factors Of 31 | 1, 31 |
Factors Of 32 | 1, 2, 4, 8, 16, 32 |
Factors Of 33 | 1, 3, 11, 33 |
Factors Of 34 | 1, 2, 17, 34 |
Factors Of 35 | 1, 5, 7, 35 |
Factors Of 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
Factors Of 37 | 1, 37 |
Factors Of 38 | 1, 2, 19, 38 |
Factors Of 39 | 1, 3, 13, 39 |
Factors Of 40 | 1, 2, 4, 5, 8, 10, 20, 40 |
Factors Of 41 | 1, 41 |
Factors Of 42 | 1, 2, 3, 6, 7, 14, 21, 42 |
Factors Of 43 | 1, 43 |
Factors Of 44 | 1, 2, 4, 11, 22, 44 |
Factors Of 45 | 1, 3, 5, 9, 15, 45 |
Factors Of 46 | 1, 2, 23, 46 |
Factors Of 47 | 1, 47 |
Factors Of 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
Factors Of 49 | 1, 7, 49 |
Factors Of 50 | 1, 2, 5, 10, 25, 50 |
Factors Of 51 | 1, 3, 17, 51 |
Factors Of 52 | 1, 2, 4, 13, 26, 52 |
Factors Of 53 | 1, 53 |
Factors Of 54 | 1, 2, 3, 6, 9, 18, 27, 54 |
Factors Of 55 | 1, 5, 11, 55 |
Factors Of 56 | 1, 2, 4, 7, 8, 14, 28, 56 |
Factors Of 57 | 1, 3, 19, 57 |
Factors Of 58 | 1, 2, 29, 58 |
Factors Of 59 | 1, 59 |
Factors Of 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 |
Factors Of 61 | 1, 61 |
Factors Of 62 | 1, 2, 31, 62 |
Factors Of 63 | 1, 3, 7, 9, 21, 63 |
Factors Of 64 | 1, 2, 4, 8, 16, 32, 64 |
Factors Of 65 | 1, 5, 13, 65 |
Factors Of 66 | 1, 2, 3, 6, 11, 22, 33, 66 |
Factors Of 67 | 1, 67 |
Factors Of 68 | 1, 2, 4, 17, 34, 68 |
Factors Of 69 | 1, 3, 23, 69 |
Factors Of 70 | 1, 2, 5, 7, 10, 14, 35, 70 |
Factors Of 71 | 1, 71 |
Factors Of 72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 |
Factors Of 73 | 1, 73 |
Factors Of 74 | 1, 2, 37, 74 |
Factors Of 75 | 1, 3, 5, 15, 25, 75 |
Factors Of 76 | 1, 2, 4, 19, 38, 76 |
Factors Of 77 | 1, 7, 11, 77 |
Factors Of 78 | 1, 2, 3, 6, 13, 26, 39, 78 |
Factors Of 79 | 1, 79 |
Factors Of 80 | 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 |
Factors Of 81 | 1, 3, 9, 27, 81 |
Factors Of 82 | 1, 2, 41, 82 |
Factors Of 83 | 1, 83 |
Factors Of 84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 |
Factors Of 85 | 1, 5, 17, 85 |
Factors Of 86 | 1, 2, 43, 86 |
Factors Of 87 | 1, 3, 29, 87 |
Factors Of 88 | 1, 2, 4, 8, 11, 22, 44, 88 |
Factors Of 89 | 1, 89 |
Factors Of 90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 |
Factors Of 91 | 1, 7, 13, 91 |
Factors Of 92 | 1, 2, 4, 23, 46, 92 |
Factors Of 93 | 1, 3, 31, 93 |
Factors Of 94 | 1, 2, 47, 94 |
Factors Of 95 | 1, 5, 19, 95 |
Factors Of 96 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 |
Factors Of 97 | 1, 97 |
Factors Of 98 | 1, 2, 7, 14, 49, 98 |
Factors Of 99 | 1, 3, 9, 11, 33, 99 |
Factors Of 100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 |
Factors Of 101 | 1, 101 |
Factors Of 102 | 1, 2, 3, 6, 17, 34, 51, 102 |
Factors Of 103 | 1, 103 |
Factors Of 104 | 1, 2, 4, 8, 13, 26, 52, 104 |
Factors Of 105 | 1, 3, 5, 7, 15, 21, 35, 105 |
Factors Of 106 | 1, 2, 53, 106 |
Factors Of 107 | 1, 107 |
Factors Of 108 | 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 |
Factors Of 109 | 1, 109 |
Factors Of 110 | 1, 2, 5, 10, 11, 22, 55, 110 |
Factors Of 111 | 1, 3, 37, 111 |
Factors Of 112 | 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 |
Factors Of 113 | 1, 113 |
Factors Of 114 | 1, 2, 3, 6, 19, 38, 57, 114 |
Factors Of 115 | 1, 5, 23, 115 |
Factors Of 116 | 1, 2, 4, 29, 58, 116 |
Factors Of 117 | 1, 3, 9, 13, 39, 117 |
Factors Of 118 | 1, 2, 59, 118 |
Factors Of 119 | 1, 7, 17, 119 |
Factors Of 120 | 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 |
Factors Of 121 | 1, 11, 121 |
Factors Of 122 | 1, 2, 61, 122 |
Factors Of 123 | 1, 3, 41, 123 |
Factors Of 124 | 1, 2, 4, 31, 62, 124 |
Factors Of 125 | 1, 5, 25, 125 |
Factors Of 126 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 |
Factors Of 127 | 1, 127 |
Factors Of 128 | 1, 2, 4, 8, 16, 32, 64, 128 |
Factors Of 129 | 1, 3, 43, 129 |
Factors Of 130 | 1, 2, 5, 10, 13, 26, 65, 130 |
Factors Of 131 | 1, 131 |
Factors Of 132 | 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 |
Factors Of 133 | 1, 7, 19, 133 |
Factors Of 134 | 1, 2, 67, 134 |
Factors Of 135 | 1, 3, 5, 9, 15, 27, 45, 135 |
Factors Of 136 | 1, 2, 4, 8, 17, 34, 68, 136 |
Factors Of 137 | 1, 137 |
Factors Of 138 | 1, 2, 3, 6, 23, 46, 69, 138 |
Factors Of 139 | 1, 139 |
Factors Of 140 | 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 |
Factors Of 141 | 1, 3, 47, 141 |
Factors Of 142 | 1, 2, 71, 142 |
Factors Of 143 | 1, 11, 13, 143 |
Factors Of 144 | 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 |
Factors Of 145 | 1, 5, 29, 145 |
Factors Of 146 | 1, 2, 73, 146 |
Factors Of 147 | 1, 3, 7, 21, 49, 147 |
Factors Of 148 | 1, 2, 4, 37, 74, 148 |
Factors Of 149 | 1, 149 |
Factors Of 150 | 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 |
Factors Of 151 | 1, 151 |
Factors Of 152 | 1, 2, 4, 8, 19, 38, 76, 152 |
Factors Of 153 | 1, 3, 9, 17, 51, 153 |
Factors Of 154 | 1, 2, 7, 11, 14, 22, 77, 154 |
Factors Of 155 | 1, 5, 31, 155 |
Factors Of 156 | 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156 |
Factors Of 157 | 1, 157 |
Factors Of 158 | 1, 2, 79, 158 |
Factors Of 159 | 1, 3, 53, 159 |
Factors Of 160 | 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160 |
Factors Of 161 | 1, 7, 23, 161 |
Factors Of 162 | 1, 2, 3, 6, 9, 18, 27, 54, 81, 162 |
Factors Of 163 | 1, 163 |
Factors Of 164 | 1, 2, 4, 41, 82, 164 |
Factors Of 165 | 1, 3, 5, 11, 15, 33, 55, 165 |
Factors Of 166 | 1, 2, 83, 166 |
Factors Of 167 | 1, 167 |
Factors Of 168 | 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 |
Factors Of 169 | 1, 13, 169 |
Factors Of 170 | 1, 2, 5, 10, 17, 34, 85, 170 |
Factors Of 171 | 1, 3, 9, 19, 57, 171 |
Factors Of 172 | 1, 2, 4, 43, 86, 172 |
Factors Of 173 | 1, 173 |
Factors Of 174 | 1, 2, 3, 6, 29, 58, 87, 174 |
Factors Of 175 | 1, 5, 7, 25, 35, 175 |
Factors Of 176 | 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 |
Factors Of 177 | 1, 3, 59, 177 |
Factors Of 178 | 1, 2, 89, 178 |
Factors Of 179 | 1, 179 |
Factors Of 180 | 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 |
Factors Of 181 | 1, 181 |
Factors Of 182 | 1, 2, 7, 13, 14, 26, 91, 182 |
Factors Of 183 | 1, 3, 61, 183 |
Factors Of 184 | 1, 2, 4, 8, 23, 46, 92, 184 |
Factors Of 185 | 1, 5, 37, 185 |
Factors Of 186 | 1, 2, 3, 6, 31, 62, 93, 186 |
Factors Of 187 | 1, 11, 17, 187 |
Factors Of 188 | 1, 2, 4, 47, 94, 188 |
Factors Of 189 | 1, 3, 7, 9, 21, 27, 63, 189 |
Factors Of 190 | 1, 2, 5, 10, 19, 38, 95, 190 |
Factors Of 191 | 1, 191 |
Factors Of 192 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 |
Factors Of 193 | 1, 193 |
Factors Of 194 | 1, 2, 97, 194 |
Factors Of 195 | 1, 3, 5, 13, 15, 39, 65, 195 |
Factors Of 196 | 1, 2, 4, 7, 14, 28, 49, 98, 196 |
Factors Of 197 | 1, 197 |
Factors Of 198 | 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198 |
Factors Of 199 | 1, 199 |
Factors Of 200 | 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 |
Numbers With Only Two Factors
Let’s begin with numbers that best have variables, including quantity. How do you multiply to get? Multiply 1 x 2 or 2 x 1 to get the answer. We would possibly anticipate that multiplying numbers with the aid of using one is the handiest manner to get a -digit variety. As a result, we will count on the 2 most effective has factors: 1 and 2.
What approximately the quantity 3?
How many one-of-a-kind impacts does it have? Let’s rephrase the question: What numbers may be extended collectively to supply a made of 3? The most effective manner to get three is to multiply 1 via way of means of three or three via way of means of 1. As a result, we will expect that three is made of simple factors: 1 and three.
The wide variety five is some other instance of a number of simple variables. What is the motive for this? We can simplest get five through multiplying 1 x five and five x 1 due to the fact we will simplest get five via way of means of multiplying 1 x five and five x 1. So there are best variables in five: 1 and five.
It’s really well worth noting that each one 3 of the figures we indexed formerly had variables of 1 and themselves.
Five had Factors of itself (five) and 1
Three had Factors of itself (three) and 1
2 had elements of itself (2) and 1
Frequently Asked Questions (FAQ’s)
Here are some questions related to factors that are normally asked:
Q1. What are the factor of 9?
The factors of 9 are 1, 3, 9 and its negative factors are -1, -3, -9.
Q2. What is the Greatest Common Factor of 9 and 7?
The factors of 9 are 1, 3, 9 and the factors of 7 are 1, 7. 9 and 7 have only one common factor which is 1. Which implies that 9 and 7 are co-prime.
Hence, the Greatest Common Factor (GCF) of 9 and 7 is 1.
Q3. What is the Sum of the Factors of 9?
All the Factors of 9 are 1, 3, 9 and therefore the sum of all these factors is 1 + 3 + 9 = 13
Q4. What are the Prime Factors of 9?
The prime factor of 9 is 3.
Q5. How Many Factors of 9 are also common to the Factors of 3?
Since, the factors of 9 are 1, 3, 9 and the factors of 3 are 1, 3.
Hence, [1, 3] are the common factors of 9 and 3.
Q6. What are the multiples of 9?
The first 10 multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81 and 90.
Q7. What is the average of factors of 9?
Average is the sum of all the values divided by a number of values.
Average of factor of 9 = (1+3+9)/3 = 13/3.
Q8. Are multiples and factors of 9 the same?
Multiples of 9 are the values that are divisible by the original number whereas factors divide the original number, evenly. Therefore, both are not the same.
Q9. How to find all factors of a number?
For starters, any number is divisible by itself, so the factors of ten are 1,… By dividing a number by 1, 2, 3, 4, and so on, we can find all of its variables. I 10 1 = 10, (ii) 10 1 = 10, (iii) 10 1 = 10, ( As a result, include them in your list of factors. (ii) 10 2 = 5 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = 0 = As a result, include them in your list of factors.
Q10. What are the factors of a number?
Factors are the numbers when multiplied together to get another number. A number can have two or more factors.
Conclusion:
Getting factor is done by dividing 9 with numbers lower to it in value to find the one that will not leave the remainder. Numbers that divide without remainders are the factors. Factors are whole numbers or integers that are multiplied together to produce a given number. The integers or whole numbers multiplied are factors of the given number.