Q: What are the prime factors of the number 241,637,559?

 A: 3, 41, 859, 2287

Why are those the prime factors of the number 241,637,559?

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 241,637,559

241,637,559
Factor Arrows
380,545,853
Factor Arrows
411,964,533
Factor Arrows
8592,287

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, 859, 2287

We can check our work by multiplying all of the prime factors together: 3 x 41 x 859 x 2,287 = 241,637,559

This can also be written as 31 x 411 x 8591 x 2,2871 = 241,637,559

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


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