Q: What are the prime factors of the number 912,650?

 A: 2, 5, 18253

Why are those the prime factors of the number 912,650?

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 912,650

912,650
Factor Arrows
2456,325
Factor Arrows
591,265
Factor Arrows
518,253

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, 18253

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 18,253 = 912,650

This can also be written as 21 x 52 x 18,2531 = 912,650

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


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