Q: What are the prime factors of the number 14,885,632?

 A: 2, 58147

Why are those the prime factors of the number 14,885,632?

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 14,885,632

14,885,632
Factor Arrows
27,442,816
Factor Arrows
23,721,408
Factor Arrows
21,860,704
Factor Arrows
2930,352
Factor Arrows
2465,176
Factor Arrows
2232,588
Factor Arrows
2116,294
Factor Arrows
258,147

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, 58147

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 58,147 = 14,885,632

This can also be written as 28 x 58,1471 = 14,885,632

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


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