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