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52 prime factorization

What is the prime factorization of 52?

Find the prime factorization of 52

52 is divisible by 2:

52 ÷ 2 = 26

See Divisibility criteria for 2.

2 is a prime number.

26 is not a prime number.

See Prime numbers 1 through 30.

The prime factorization of 26 is

26 = 2 * 13

See 26 prime factorization.

Both 2 and 13 are prime numbers.

Therefore, the prime factorization of 52 is

52 = 2 * 2 * 13

The prime factorization of 52 using exponents

52 = 22 * 13

So, the prime factors of 52 are

2, 2, 13