Q: What are the prime factors of the number 25,510,720?

 A: 2, 5, 29, 2749

Why are those the prime factors of the number 25,510,720?

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 25,510,720

25,510,720
Factor Arrows
212,755,360
Factor Arrows
26,377,680
Factor Arrows
23,188,840
Factor Arrows
21,594,420
Factor Arrows
2797,210
Factor Arrows
2398,605
Factor Arrows
579,721
Factor Arrows
292,749

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, 29, 2749

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 5 x 29 x 2,749 = 25,510,720

This can also be written as 26 x 51 x 291 x 2,7491 = 25,510,720

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


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