Q: What are the prime factors of the number 391,756?

 A: 2, 37, 2647

Why are those the prime factors of the number 391,756?

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 391,756

391,756
Factor Arrows
2195,878
Factor Arrows
297,939
Factor Arrows
372,647

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, 37, 2647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 2,647 = 391,756

This can also be written as 22 x 371 x 2,6471 = 391,756

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


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