Q: What are the prime factors of the number 25,422,332?

 A: 2, 13, 37607

Why are those the prime factors of the number 25,422,332?

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 25,422,332

25,422,332
Factor Arrows
212,711,166
Factor Arrows
26,355,583
Factor Arrows
13488,891
Factor Arrows
1337,607

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, 13, 37607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 37,607 = 25,422,332

This can also be written as 22 x 132 x 37,6071 = 25,422,332

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


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