Factors of 9

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:

1. 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

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.