Q: What are the prime factors of the number 120,043,552?

 A: 2, 487, 7703

Why are those the prime factors of the number 120,043,552?

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 120,043,552

120,043,552
Factor Arrows
260,021,776
Factor Arrows
230,010,888
Factor Arrows
215,005,444
Factor Arrows
27,502,722
Factor Arrows
23,751,361
Factor Arrows
4877,703

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, 487, 7703

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 487 x 7,703 = 120,043,552

This can also be written as 25 x 4871 x 7,7031 = 120,043,552

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


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