Q: What are the prime factors of the number 120,444,736?

 A: 2, 1881949

Why are those the prime factors of the number 120,444,736?

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 120,444,736

120,444,736
Factor Arrows
260,222,368
Factor Arrows
230,111,184
Factor Arrows
215,055,592
Factor Arrows
27,527,796
Factor Arrows
23,763,898
Factor Arrows
21,881,949

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, 1881949

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 1,881,949 = 120,444,736

This can also be written as 26 x 1,881,9491 = 120,444,736

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


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