Q: What are the prime factors of the number 819,616?

 A: 2, 7, 3659

Why are those the prime factors of the number 819,616?

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 819,616

819,616
Factor Arrows
2409,808
Factor Arrows
2204,904
Factor Arrows
2102,452
Factor Arrows
251,226
Factor Arrows
225,613
Factor Arrows
73,659

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, 7, 3659

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 3,659 = 819,616

This can also be written as 25 x 71 x 3,6591 = 819,616

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


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