Q: What are the prime factors of the number 5,117,320?

 A: 2, 5, 13, 757

Why are those the prime factors of the number 5,117,320?

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 5,117,320

5,117,320
Factor Arrows
22,558,660
Factor Arrows
21,279,330
Factor Arrows
2639,665
Factor Arrows
5127,933
Factor Arrows
139,841
Factor Arrows
13757

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, 13, 757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 13 x 757 = 5,117,320

This can also be written as 23 x 51 x 132 x 7571 = 5,117,320

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


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