Q: What are the prime factors of the number 31,520,021?

 A: 13, 41, 4549

Why are those the prime factors of the number 31,520,021?

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 31,520,021

31,520,021
Factor Arrows
132,424,617
Factor Arrows
13186,509
Factor Arrows
414,549

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:

13, 41, 4549

We can check our work by multiplying all of the prime factors together: 13 x 13 x 41 x 4,549 = 31,520,021

This can also be written as 132 x 411 x 4,5491 = 31,520,021

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


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