Q: What are the prime factors of the number 443,715,759?

 A: 3, 17, 19, 83, 613

Why are those the prime factors of the number 443,715,759?

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 443,715,759

443,715,759
Factor Arrows
3147,905,253
Factor Arrows
349,301,751
Factor Arrows
316,433,917
Factor Arrows
17966,701
Factor Arrows
1950,879
Factor Arrows
83613

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, 17, 19, 83, 613

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 17 x 19 x 83 x 613 = 443,715,759

This can also be written as 33 x 171 x 191 x 831 x 6131 = 443,715,759

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


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