Q: What are the prime factors of the number 120,155,544?

 A: 2, 3, 19, 87833

Why are those the prime factors of the number 120,155,544?

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 120,155,544

120,155,544
Factor Arrows
260,077,772
Factor Arrows
230,038,886
Factor Arrows
215,019,443
Factor Arrows
35,006,481
Factor Arrows
31,668,827
Factor Arrows
1987,833

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, 19, 87833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 87,833 = 120,155,544

This can also be written as 23 x 32 x 191 x 87,8331 = 120,155,544

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


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