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36 prime factorization

What is the prime factorization of 36?

Find the prime factorization of 36

36 is divisible by 6:

36 ÷ 6 = 6

6 is not a prime number.

See Prime numbers 1 through 20.

The prime factorization of 6 is

6 = 2 * 3

Both 2 and 3 are prime numbers.

Therefore, the prime factorization of 36 is

36 =
2 * 3 * 2 * 3 =
2 * 2 * 3 * 3

The prime factorization of 36 using exponents

36 = 22 * 32

So, the prime factors of 36 are

2, 2, 3, 3