Q: What are the prime factors of the number 425,884?

 A: 2, 17, 6263

Why are those the prime factors of the number 425,884?

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 425,884

425,884
Factor Arrows
2212,942
Factor Arrows
2106,471
Factor Arrows
176,263

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, 17, 6263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 6,263 = 425,884

This can also be written as 22 x 171 x 6,2631 = 425,884

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


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