Q: What are the prime factors of the number 500,308?

 A: 2, 19, 29, 227

Why are those the prime factors of the number 500,308?

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 500,308

500,308
Factor Arrows
2250,154
Factor Arrows
2125,077
Factor Arrows
196,583
Factor Arrows
29227

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, 19, 29, 227

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 29 x 227 = 500,308

This can also be written as 22 x 191 x 291 x 2271 = 500,308

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


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