Q: What are the prime factors of the number 836,170,065?

 A: 3, 5, 109, 170473

Why are those the prime factors of the number 836,170,065?

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 836,170,065

836,170,065
Factor Arrows
3278,723,355
Factor Arrows
392,907,785
Factor Arrows
518,581,557
Factor Arrows
109170,473

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, 109, 170473

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 109 x 170,473 = 836,170,065

This can also be written as 32 x 51 x 1091 x 170,4731 = 836,170,065

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


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