Q: What are the prime factors of the number 995,124?

 A: 2, 3, 13, 6379

Why are those the prime factors of the number 995,124?

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 995,124

995,124
Factor Arrows
2497,562
Factor Arrows
2248,781
Factor Arrows
382,927
Factor Arrows
136,379

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, 13, 6379

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 6,379 = 995,124

This can also be written as 22 x 31 x 131 x 6,3791 = 995,124

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


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