Q: What are the prime factors of the number 100,662,513?

 A: 3, 7, 19, 23, 1567

Why are those the prime factors of the number 100,662,513?

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 100,662,513

100,662,513
Factor Arrows
333,554,171
Factor Arrows
74,793,453
Factor Arrows
7684,779
Factor Arrows
1936,041
Factor Arrows
231,567

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, 19, 23, 1567

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 19 x 23 x 1,567 = 100,662,513

This can also be written as 31 x 72 x 191 x 231 x 1,5671 = 100,662,513

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


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