Q: What are the prime factors of the number 25,225,890?

 A: 2, 3, 5, 840863

Why are those the prime factors of the number 25,225,890?

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 25,225,890

25,225,890
Factor Arrows
212,612,945
Factor Arrows
34,204,315
Factor Arrows
5840,863

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, 3, 5, 840863

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 840,863 = 25,225,890

This can also be written as 21 x 31 x 51 x 840,8631 = 25,225,890

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


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