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144 prime factorization

What is the prime factorization of 144?

Find the prime factorization of 144

144 is divisible by 4:

144 ÷ 4 = 36

Neither 4 nor 36 are prime numbers.

See Prime numbers 1 through 50.

The prime factorization of 4 is

4 = 2 * 2

The prime factorization of 36 is

36 =
2 * 2 * 3 * 3

See 36 prime factorization.

Therefore, the prime factorization of 144 is

144 =
2 * 2 * 2 * 2 * 3 * 3

The prime factorization of 144 using exponents

144 = 24 * 32

So, the prime factors of 144 are

2, 2, 2, 2, 3, 3