Q: What are the prime factors of the number 634,506,520?

 A: 2, 5, 19, 23, 36299

Why are those the prime factors of the number 634,506,520?

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 634,506,520

634,506,520
Factor Arrows
2317,253,260
Factor Arrows
2158,626,630
Factor Arrows
279,313,315
Factor Arrows
515,862,663
Factor Arrows
19834,877
Factor Arrows
2336,299

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, 5, 19, 23, 36299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 19 x 23 x 36,299 = 634,506,520

This can also be written as 23 x 51 x 191 x 231 x 36,2991 = 634,506,520

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


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