Q: What are the prime factors of the number 640,252?

 A: 2, 67, 2389

Why are those the prime factors of the number 640,252?

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 640,252

640,252
Factor Arrows
2320,126
Factor Arrows
2160,063
Factor Arrows
672,389

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, 67, 2389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 67 x 2,389 = 640,252

This can also be written as 22 x 671 x 2,3891 = 640,252

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


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