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450 prime factorization

What is the prime factorization of 450?

Find the prime factorization of 450

450 is divisible by 10:

450 ÷ 10 = 45

See Divisibility criteria for 10.

Neither 10 nor 45 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 45 is

45 = 3 * 3 * 5

See 45 prime factorization.

Therefore, the prime factorization of 450 is

450 =
2 * 3 * 3 * 5 * 5

The prime factorization of 450 using exponents

450 =
2 * 32 * 52

So, the prime factors of 450 are

2, 3, 3, 5, 5