Q: What are the prime factors of the number 639,882?

 A: 2, 3, 19, 1871

Why are those the prime factors of the number 639,882?

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 639,882

639,882
Factor Arrows
2319,941
Factor Arrows
3106,647
Factor Arrows
335,549
Factor Arrows
191,871

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, 19, 1871

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 1,871 = 639,882

This can also be written as 21 x 32 x 191 x 1,8711 = 639,882

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


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