Factors Of 120

Factors of 120 are the numbers, which gives the result as 120 when multiplied together in a pair. There are many factors which are commonly used in mathematical calculations such as factors of 56, 90, etc. Prime factors of number 120 basically give out the prime numbers. To find the factors of a number, 120, we will use the multiplication method. Here we will find the factors in pair, total factors and the prime factorization of 120.

Factors Of 120 in Pairs

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

1 × 120 = 120

2 × 60 = 120

3 × 40 = 120

4 × 30 = 120

5 × 24 = 120

6 × 20 = 120

8 × 15 = 120

10 × 12 = 120

Therefore, the pair factors of 120 are (1, 120), (2, 60), (3, 40), (4, 30), (5, 24), (6, 20), (8, 15) and (10, 12).

Prime Factorisation of 120

120 is a composite number. Now let us find the prime factors of 120.

• • The first step is to divide the number 120 with the smallest prime factor, i.e. 2 and continue dividing by 2 until you get a fraction.

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 2 = 7.5; 7.5 cannot be a factor

• • Now, proceed to the next prime numbers, i.e. 3 and continue dividing till you get fraction or 1.

15 ÷ 3 = 5

5 ÷ 3 = 1.66; cannot be a factor

• • Therefore, moving to the next prime number, 5.

5 ÷ 5 = 1

• We have received 1 at the end in the division process and further, we cannot proceed. So, the prime factors of 120 are 2 × 2 × 2 × 3 × 5 or 2³ × 3 × 5, where 2, 3 and 5 are the prime numbers.

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