Q: What are the prime factors of the number 839,985?

 A: 3, 5, 29, 1931

Why are those the prime factors of the number 839,985?

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 839,985

839,985
Factor Arrows
3279,995
Factor Arrows
555,999
Factor Arrows
291,931

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:

3, 5, 29, 1931

We can check our work by multiplying all of the prime factors together: 3 x 5 x 29 x 1,931 = 839,985

This can also be written as 31 x 51 x 291 x 1,9311 = 839,985

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


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