Q: What are the prime factors of the number 240,200,427?

 A: 3, 41, 67, 29147

Why are those the prime factors of the number 240,200,427?

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 240,200,427

240,200,427
Factor Arrows
380,066,809
Factor Arrows
411,952,849
Factor Arrows
6729,147

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:

3, 41, 67, 29147

We can check our work by multiplying all of the prime factors together: 3 x 41 x 67 x 29,147 = 240,200,427

This can also be written as 31 x 411 x 671 x 29,1471 = 240,200,427

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


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