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180 prime factorization

What is the prime factorization of 180 using exponents? What is the prime factorization of 180?

Find the prime factorization of 180

180 is divisible by 10:

180 ÷ 10 = 18

See Divisibility criteria for 10.

Neither 10 nor 18 are prime numbers.

See Prime numbers 1 through 50.

The prime factorization of 10 is

10 = 2 * 5

See 10 prime factorization.

The prime factorization of 18 is

18 = 2 * 3 * 3

See 18 prime factorization.

Therefore, the prime factorization of 180 is

180 =
2 * 2 * 3 * 3 * 5

The prime factorization of 180 using exponents

180 = 22 * 32 * 5

So, the prime factors of 180 are

2, 2, 3, 3, 5