SBP-Program

f

tw

in

45 prime factorization

What is the prime factorization of 45?

Find the prime factorization of 45

45 is divisible by 5:

45 ÷ 5 = 9

See Divisibility criteria for 5.

5 is a prime number.

9 is not a prime number.

See Prime numbers 1 through 20.

The prime factorization of 9 is

9 = 3 * 3

3 is a prime number.

Therefore, the prime factorization of 45 is

45 = 3 * 3 * 5

The prime factorization of 45 using exponents

45 = 32 * 5

So, the prime factors of 45 are

3, 3, 5