Q: What are the prime factors of the number 120,429,560?

 A: 2, 5, 73, 41243

Why are those the prime factors of the number 120,429,560?

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 120,429,560

120,429,560
Factor Arrows
260,214,780
Factor Arrows
230,107,390
Factor Arrows
215,053,695
Factor Arrows
53,010,739
Factor Arrows
7341,243

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, 5, 73, 41243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 73 x 41,243 = 120,429,560

This can also be written as 23 x 51 x 731 x 41,2431 = 120,429,560

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


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