**What are factors in maths**

Factors of a given number are numbers that when multiplied together give us the original number. For example, the number 12 can be obtained by multiplying the following numbers:

1 and 12

2 and 6

3 and 4

Thus 1, 2, 3, 4, 6, and 12 are the factors of the number 12.

A number can have many factors.

**More about factors**

Factors are whole numbers that can be either composite numbers or prime factors.

Composite numbers are natural numbers other than prime numbers.

A prime number is not divisible by any number other than 1 and the number itself. Thus, prime numbers have only two factors - the number 1 and the number itself.

**Practice questions**

Question: Find the factors of the number 21.

( Answer: Factors of 21 are 1, 3, 7, 21 )

Question: Find the factors of the number 17.

( Answer: Factors of 17 are 1, 17 . Note: 17 is a prime number )

Question: Find the factors of the number 64.

( Answer: Factors of 64 are 1, 2, 4, 8, 16, 32, 64 )

**Common factors**

Factors that are common to two or more numbers are known as common factors. For example, consider the number 12 and 18.

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The number 1, 2, 3, 6 are the common factors of 12 and 18

Practice questions

Question: Find the common factors of 10 and 30.

( Answer: Factors of 10 = 1, 2, 5, 10

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Common factors of 10 and 30 are: 1, 2, 5, 10

)

Question: Find the common factors of 24 and 64.

( Answer: Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 64 = 1, 2, 4, 8, 16, 32, 64

Common factors of 24 and 64 are: 1, 2, 4, 8

)

Question: Find the common factors of 18 and 24 and 99.

( Answer: Factors of 18 = 1, 2, 3, 6, 9, 18

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 99 = 1, 3, 9, 11, 33, 99

Common factors of 18, 24 and 99 are: 1, 3

)

**Prime factorization**

In this method, we try to find the prime numbers which multiply together to make the original number.

*
© Hozefa Arsiwala and teacherlookup.com, 2018-2019. Unauthorized use and/or duplication of this material without express and written permission from this site’s author and/or owner is strictly prohibited. Excerpts and links may be used, provided that full and clear credit is given to Hozefa Arsiwala and teacherlookup.com with appropriate and specific direction to the original content.
*