Q: What are the prime factors of the number 241,017,520?

 A: 2, 5, 3012719

Why are those the prime factors of the number 241,017,520?

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 241,017,520

241,017,520
Factor Arrows
2120,508,760
Factor Arrows
260,254,380
Factor Arrows
230,127,190
Factor Arrows
215,063,595
Factor Arrows
53,012,719

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, 3012719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 3,012,719 = 241,017,520

This can also be written as 24 x 51 x 3,012,7191 = 241,017,520

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


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