Q: What are the prime factors of the number 99,483,709?

 A: 13, 71, 8291

Why are those the prime factors of the number 99,483,709?

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 99,483,709

99,483,709
Factor Arrows
137,652,593
Factor Arrows
13588,661
Factor Arrows
718,291

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, 71, 8291

We can check our work by multiplying all of the prime factors together: 13 x 13 x 71 x 8,291 = 99,483,709

This can also be written as 132 x 711 x 8,2911 = 99,483,709

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


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