What is the prime factorization of 180?

Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.

Prime factorisation of 180

Here we have to find the prime factors of 180.

Dividing 180 by least common prime number.

180 ÷ 2 = 90

Again divide 90 by 2,

90 ÷ 2 = 45

Divide 45 by 3;

45 ÷ 3 = 15

Divide 15 by 3

15 ÷ 3 = 5

Divide 5 by 5

5 ÷ 5 = 1

Now, we have got the quotient as 1. So no further division is possible.

Therefore, the prime factorisation of 180 is 2 x 2 x 3 × 3 × 5

Answer

Prime factorization of 180 = 2 x 2 x 3 × 3 × 5

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