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306 prime factorization

What is the prime factorization of 306?

Find the prime factorization of 306

306 is divisible by 9:

306 ÷ 9 = 34

Neither 9 nor 34 are prime numbers.

See Prime numbers 1 through 100.

The prime factorization of 9 is

9 = 3 * 3

See 9 prime factorization.

The prime factorization of 34 is

34 = 2 * 17

See 34 prime factorization.

Therefore, the prime factorization of 306 is

306 =
2 * 3 * 3 * 17

The prime factorization of 306 using exponents

306 =
2 * 32 * 17

So, the prime factors of 306 are

2, 3, 3, 17