Q: What are the prime factors of the number 376,700?

 A: 2, 5, 3767

Why are those the prime factors of the number 376,700?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 376,700

376,700
Factor Arrows
2188,350
Factor Arrows
294,175
Factor Arrows
518,835
Factor Arrows
53,767

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 3767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 3,767 = 376,700

This can also be written as 22 x 52 x 3,7671 = 376,700

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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