 # Factors Of 72

Factors of 72 are the numbers, which gives the result as 72 when multiplied together in a pair of two. For example, 2×3 = 6, states that 2 and 3 are the factors of 6. In Maths, we will learn factors of many numbers such as 48, 60, 90, 96, 85, etc. Some students get confused factors with multiples. Basically, multiples of 72 give extended time table of 72, such as, 72, 144, 216, 288, 360, 432, 504, 576, 648 and so on. To find the factors of a number, 72, we will use the factorization method. ## Factors Of 72 in Pairs

We can find the factors in pairs of 72, by multiplying two numbers in a pair to get the original number as 72, such as;

1 × 72 = 72

2 × 36 = 72

3 × 24 = 72

4 × 18 = 72

6 × 12 = 72

8 × 9 = 72

Therefore, the pair factors of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9)

Total Factors of 72 are: 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36 and 72

 Factors Of 72 1, 2, 3, 4, 6, 8, 9 12, 18, 24, 36 and 72

### Prime Factorisation of 72

The number 72 is a composite number. Now let us find the prime factorisation of this number.

• The first step is to divide the number 72 with the smallest prime factor,i.e. 2.

72 ÷ 2 = 36

Again, divide 36 by 2.

36 ÷ 2 = 18

18 ÷ 2 = 9

Now, if we divide 9 by 2 we get a fraction number, which cannot be a factor.

• Now, proceed to the next prime numbers, i.e. 3.

9 ÷ 3 = 3

3 ÷ 3 = 1

• We have received 1 at the end in the division process and further, we cannot proceed. So, the prime factorisation of 72 are 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers.