Q: What are the prime factors of the number 62,356,032?

 A: 2, 3, 29, 3733

Why are those the prime factors of the number 62,356,032?

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 62,356,032

62,356,032
Factor Arrows
231,178,016
Factor Arrows
215,589,008
Factor Arrows
27,794,504
Factor Arrows
23,897,252
Factor Arrows
21,948,626
Factor Arrows
2974,313
Factor Arrows
3324,771
Factor Arrows
3108,257
Factor Arrows
293,733

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, 29, 3733

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 3 x 29 x 3,733 = 62,356,032

This can also be written as 26 x 32 x 291 x 3,7331 = 62,356,032

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


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