Q: What are the prime factors of the number 500,452,515?

 A: 3, 5, 23, 21023

Why are those the prime factors of the number 500,452,515?

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 500,452,515

500,452,515
Factor Arrows
3166,817,505
Factor Arrows
355,605,835
Factor Arrows
511,121,167
Factor Arrows
23483,529
Factor Arrows
2321,023

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:

3, 5, 23, 21023

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 23 x 23 x 21,023 = 500,452,515

This can also be written as 32 x 51 x 232 x 21,0231 = 500,452,515

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


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