Q: What are the prime factors of the number 25,817,720?

 A: 2, 5, 645443

Why are those the prime factors of the number 25,817,720?

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 25,817,720

25,817,720
Factor Arrows
212,908,860
Factor Arrows
26,454,430
Factor Arrows
23,227,215
Factor Arrows
5645,443

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, 645443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 645,443 = 25,817,720

This can also be written as 23 x 51 x 645,4431 = 25,817,720

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


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