Q: What are the prime factors of the number 240,859,120?

 A: 2, 5, 73, 41243

Why are those the prime factors of the number 240,859,120?

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 240,859,120

240,859,120
Factor Arrows
2120,429,560
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 2 x 5 x 73 x 41,243 = 240,859,120

This can also be written as 24 x 51 x 731 x 41,2431 = 240,859,120

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


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