What is the prime factorization of 36 and 90?

Answer 1

The first step in using primes for finding LCM is to find the factors of the given numbers. The LCM of the given numbers is the product of all the prime factors to their greatest power.

Prime factors of 36 are 2^2 x 3^2

Prime factors of 90 are 2 x 3^2 x 5

The LCM of 36 and 90 is 2^2 x 3^2 x 5 = 4 x 9 x 5 = 180

Answer 2

The prime factorization of 36 is 2 x 2 x 3 x 3 or 22 x 32.

The prime factorization of 90 is 2 x 3 x 3 x 5 or 2 x 32 x 5.

Answer 3

2 x 2 x 3 x 3 = 36

3 x 3 x 3 x 3 = 81

Answer 4

The Greatest Common Factor (GCF) is: 18

Answer 5

2 x 2 x 3 = 12

2 x 2 x 3 x 3 = 36

Answer 6

12 x 3 =36