Q: What are the prime factors of the number 615,124,696?

 A: 2, 19, 23, 251, 701

Why are those the prime factors of the number 615,124,696?

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 615,124,696

615,124,696
Factor Arrows
2307,562,348
Factor Arrows
2153,781,174
Factor Arrows
276,890,587
Factor Arrows
194,046,873
Factor Arrows
23175,951
Factor Arrows
251701

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, 23, 251, 701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 23 x 251 x 701 = 615,124,696

This can also be written as 23 x 191 x 231 x 2511 x 7011 = 615,124,696

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


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