Q: What are the prime factors of the number 100,636,605?

 A: 3, 5, 2236369

Why are those the prime factors of the number 100,636,605?

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 100,636,605

100,636,605
Factor Arrows
333,545,535
Factor Arrows
311,181,845
Factor Arrows
52,236,369

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, 2236369

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 2,236,369 = 100,636,605

This can also be written as 32 x 51 x 2,236,3691 = 100,636,605

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


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