Q: What are the prime factors of the number 13,750,976?

 A: 2, 37, 5807

Why are those the prime factors of the number 13,750,976?

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 13,750,976

13,750,976
Factor Arrows
26,875,488
Factor Arrows
23,437,744
Factor Arrows
21,718,872
Factor Arrows
2859,436
Factor Arrows
2429,718
Factor Arrows
2214,859
Factor Arrows
375,807

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, 37, 5807

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 37 x 5,807 = 13,750,976

This can also be written as 26 x 371 x 5,8071 = 13,750,976

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


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