Q: What are the prime factors of the number 432,832?

 A: 2, 6763

Why are those the prime factors of the number 432,832?

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 432,832

432,832
Factor Arrows
2216,416
Factor Arrows
2108,208
Factor Arrows
254,104
Factor Arrows
227,052
Factor Arrows
213,526
Factor Arrows
26,763

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, 6763

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 6,763 = 432,832

This can also be written as 26 x 6,7631 = 432,832

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


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