Q: What are the prime factors of the number 995,061?

 A: 3, 17, 109, 179

Why are those the prime factors of the number 995,061?

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 995,061

995,061
Factor Arrows
3331,687
Factor Arrows
1719,511
Factor Arrows
109179

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, 17, 109, 179

We can check our work by multiplying all of the prime factors together: 3 x 17 x 109 x 179 = 995,061

This can also be written as 31 x 171 x 1091 x 1791 = 995,061

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


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