Q: What are the prime factors of the number 25,214,110?

 A: 2, 5, 67, 37633

Why are those the prime factors of the number 25,214,110?

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 25,214,110

25,214,110
Factor Arrows
212,607,055
Factor Arrows
52,521,411
Factor Arrows
6737,633

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, 67, 37633

We can check our work by multiplying all of the prime factors together: 2 x 5 x 67 x 37,633 = 25,214,110

This can also be written as 21 x 51 x 671 x 37,6331 = 25,214,110

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


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