Q: What are the prime factors of the number 410,251,055?

 A: 5, 17, 31, 155693

Why are those the prime factors of the number 410,251,055?

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 410,251,055

410,251,055
Factor Arrows
582,050,211
Factor Arrows
174,826,483
Factor Arrows
31155,693

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, 17, 31, 155693

We can check our work by multiplying all of the prime factors together: 5 x 17 x 31 x 155,693 = 410,251,055

This can also be written as 51 x 171 x 311 x 155,6931 = 410,251,055

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


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