Q: What are the prime factors of the number 25,915,328?

 A: 2, 29, 13963

Why are those the prime factors of the number 25,915,328?

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 25,915,328

25,915,328
Factor Arrows
212,957,664
Factor Arrows
26,478,832
Factor Arrows
23,239,416
Factor Arrows
21,619,708
Factor Arrows
2809,854
Factor Arrows
2404,927
Factor Arrows
2913,963

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, 29, 13963

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 29 x 13,963 = 25,915,328

This can also be written as 26 x 291 x 13,9631 = 25,915,328

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


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