Q: What are the prime factors of the number 5,613,816?

 A: 2, 3, 13, 19, 947

Why are those the prime factors of the number 5,613,816?

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 5,613,816

5,613,816
Factor Arrows
22,806,908
Factor Arrows
21,403,454
Factor Arrows
2701,727
Factor Arrows
3233,909
Factor Arrows
1317,993
Factor Arrows
19947

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, 13, 19, 947

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 19 x 947 = 5,613,816

This can also be written as 23 x 31 x 131 x 191 x 9471 = 5,613,816

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


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