Q: What are the prime factors of the number 225,331,026?

 A: 2, 3, 863, 43517

Why are those the prime factors of the number 225,331,026?

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 225,331,026

225,331,026
Factor Arrows
2112,665,513
Factor Arrows
337,555,171
Factor Arrows
86343,517

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, 863, 43517

We can check our work by multiplying all of the prime factors together: 2 x 3 x 863 x 43,517 = 225,331,026

This can also be written as 21 x 31 x 8631 x 43,5171 = 225,331,026

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


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