Q: What are the prime factors of the number 62,513,920?

 A: 2, 5, 7, 6977

Why are those the prime factors of the number 62,513,920?

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 62,513,920

62,513,920
Factor Arrows
231,256,960
Factor Arrows
215,628,480
Factor Arrows
27,814,240
Factor Arrows
23,907,120
Factor Arrows
21,953,560
Factor Arrows
2976,780
Factor Arrows
2488,390
Factor Arrows
2244,195
Factor Arrows
548,839
Factor Arrows
76,977

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, 7, 6977

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 2 x 2 x 5 x 7 x 6,977 = 62,513,920

This can also be written as 28 x 51 x 71 x 6,9771 = 62,513,920

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


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