Q: What are the prime factors of the number 285,723,607?

 A: 13, 17, 59, 1289

Why are those the prime factors of the number 285,723,607?

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 285,723,607

285,723,607
Factor Arrows
1321,978,739
Factor Arrows
171,292,867
Factor Arrows
1776,051
Factor Arrows
591,289

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:

13, 17, 59, 1289

We can check our work by multiplying all of the prime factors together: 13 x 17 x 17 x 59 x 1,289 = 285,723,607

This can also be written as 131 x 172 x 591 x 1,2891 = 285,723,607

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


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