Q: What are the prime factors of the number 499,452?

 A: 2, 3, 41621

Why are those the prime factors of the number 499,452?

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 499,452

499,452
Factor Arrows
2249,726
Factor Arrows
2124,863
Factor Arrows
341,621

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, 41621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 41,621 = 499,452

This can also be written as 22 x 31 x 41,6211 = 499,452

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


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