Q: What are the prime factors of the number 32,313,315?

 A: 3, 5, 31, 69491

Why are those the prime factors of the number 32,313,315?

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 32,313,315

32,313,315
Factor Arrows
310,771,105
Factor Arrows
52,154,221
Factor Arrows
3169,491

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, 31, 69491

We can check our work by multiplying all of the prime factors together: 3 x 5 x 31 x 69,491 = 32,313,315

This can also be written as 31 x 51 x 311 x 69,4911 = 32,313,315

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


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