Q:

# What is the prime factorization of 76?

A:

The prime factorization of 76 is 2 x 2 x 19. In other words, 2 and 19 are the prime factors of 76. A prime number is one that is divisible only by itself and 1.

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The number 76 also has two non-prime factors, which are 4 and 38. One can find the prime factorization of 76 by writing down 76 = 4 x 19 or 76 = 2 x 38. Either of these factorizations can be reduced to the prime factorization of 76 = 2 x 2 x 19 by factoring the non-prime factors into their prime factors: 4 = 2 x 2 or 38 = 2 x 19.

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