Q: What are the prime factors of the number 100,011,288?

 A: 2, 3, 13, 19, 16871

Why are those the prime factors of the number 100,011,288?

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 100,011,288

100,011,288
Factor Arrows
250,005,644
Factor Arrows
225,002,822
Factor Arrows
212,501,411
Factor Arrows
34,167,137
Factor Arrows
13320,549
Factor Arrows
1916,871

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:

2, 3, 13, 19, 16871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 19 x 16,871 = 100,011,288

This can also be written as 23 x 31 x 131 x 191 x 16,8711 = 100,011,288

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


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