Q: What are the prime factors of the number 240,131,255?

 A: 5, 7, 13, 40597

Why are those the prime factors of the number 240,131,255?

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 240,131,255

240,131,255
Factor Arrows
548,026,251
Factor Arrows
76,860,893
Factor Arrows
13527,761
Factor Arrows
1340,597

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:

5, 7, 13, 40597

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 13 x 40,597 = 240,131,255

This can also be written as 51 x 71 x 132 x 40,5971 = 240,131,255

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


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