Q: What are the prime factors of the number 120,238,912?

 A: 2, 1878733

Why are those the prime factors of the number 120,238,912?

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 120,238,912

120,238,912
Factor Arrows
260,119,456
Factor Arrows
230,059,728
Factor Arrows
215,029,864
Factor Arrows
27,514,932
Factor Arrows
23,757,466
Factor Arrows
21,878,733

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, 1878733

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 1,878,733 = 120,238,912

This can also be written as 26 x 1,878,7331 = 120,238,912

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


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