Q: What are the prime factors of the number 407,696?

 A: 2, 83, 307

Why are those the prime factors of the number 407,696?

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 407,696

407,696
Factor Arrows
2203,848
Factor Arrows
2101,924
Factor Arrows
250,962
Factor Arrows
225,481
Factor Arrows
83307

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, 83, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 83 x 307 = 407,696

This can also be written as 24 x 831 x 3071 = 407,696

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


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