Q: What are the prime factors of the number 497,916?

 A: 2, 3, 13831

Why are those the prime factors of the number 497,916?

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 497,916

497,916
Factor Arrows
2248,958
Factor Arrows
2124,479
Factor Arrows
341,493
Factor Arrows
313,831

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, 3, 13831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13,831 = 497,916

This can also be written as 22 x 32 x 13,8311 = 497,916

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


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