Q: What are the prime factors of the number 836,904?

 A: 2, 3, 34871

Why are those the prime factors of the number 836,904?

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 836,904

836,904
Factor Arrows
2418,452
Factor Arrows
2209,226
Factor Arrows
2104,613
Factor Arrows
334,871

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, 34871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 34,871 = 836,904

This can also be written as 23 x 31 x 34,8711 = 836,904

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


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