Q: What are the prime factors of the number 850,536?

 A: 2, 3, 11813

Why are those the prime factors of the number 850,536?

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 850,536

850,536
Factor Arrows
2425,268
Factor Arrows
2212,634
Factor Arrows
2106,317
Factor Arrows
335,439
Factor Arrows
311,813

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, 11813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 11,813 = 850,536

This can also be written as 23 x 32 x 11,8131 = 850,536

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


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