Q: What are the prime factors of the number 62,507,328?

 A: 2, 3, 13, 79, 317

Why are those the prime factors of the number 62,507,328?

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 62,507,328

62,507,328
Factor Arrows
231,253,664
Factor Arrows
215,626,832
Factor Arrows
27,813,416
Factor Arrows
23,906,708
Factor Arrows
21,953,354
Factor Arrows
2976,677
Factor Arrows
3325,559
Factor Arrows
1325,043
Factor Arrows
79317

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, 13, 79, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 79 x 317 = 62,507,328

This can also be written as 26 x 31 x 131 x 791 x 3171 = 62,507,328

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


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