Q: What are the prime factors of the number 100,020,992?

 A: 2, 390707

Why are those the prime factors of the number 100,020,992?

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 100,020,992

100,020,992
Factor Arrows
250,010,496
Factor Arrows
225,005,248
Factor Arrows
212,502,624
Factor Arrows
26,251,312
Factor Arrows
23,125,656
Factor Arrows
21,562,828
Factor Arrows
2781,414
Factor Arrows
2390,707

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, 390707

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 390,707 = 100,020,992

This can also be written as 28 x 390,7071 = 100,020,992

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


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