Q: What are the prime factors of the number 599,816?

 A: 2, 7, 10711

Why are those the prime factors of the number 599,816?

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 599,816

599,816
Factor Arrows
2299,908
Factor Arrows
2149,954
Factor Arrows
274,977
Factor Arrows
710,711

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, 10711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 10,711 = 599,816

This can also be written as 23 x 71 x 10,7111 = 599,816

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


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