Q: What are the prime factors of the number 5,024,313?

 A: 3, 7, 11393

Why are those the prime factors of the number 5,024,313?

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 5,024,313

5,024,313
Factor Arrows
31,674,771
Factor Arrows
3558,257
Factor Arrows
779,751
Factor Arrows
711,393

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, 7, 11393

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 7 x 11,393 = 5,024,313

This can also be written as 32 x 72 x 11,3931 = 5,024,313

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


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