Q: What are the prime factors of the number 952,515?

 A: 3, 5, 61, 347

Why are those the prime factors of the number 952,515?

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 952,515

952,515
Factor Arrows
3317,505
Factor Arrows
3105,835
Factor Arrows
521,167
Factor Arrows
61347

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, 61, 347

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 61 x 347 = 952,515

This can also be written as 32 x 51 x 611 x 3471 = 952,515

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


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