Q: What are the prime factors of the number 499,764?

 A: 2, 3, 41647

Why are those the prime factors of the number 499,764?

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 499,764

499,764
Factor Arrows
2249,882
Factor Arrows
2124,941
Factor Arrows
341,647

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, 3, 41647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 41,647 = 499,764

This can also be written as 22 x 31 x 41,6471 = 499,764

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


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