Q: What are the prime factors of the number 639,432?

 A: 2, 3, 83, 107

Why are those the prime factors of the number 639,432?

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 639,432

639,432
Factor Arrows
2319,716
Factor Arrows
2159,858
Factor Arrows
279,929
Factor Arrows
326,643
Factor Arrows
38,881
Factor Arrows
83107

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, 83, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 83 x 107 = 639,432

This can also be written as 23 x 32 x 831 x 1071 = 639,432

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


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