Q: What are the prime factors of the number 560,673,711?

 A: 3, 13, 1597361

Why are those the prime factors of the number 560,673,711?

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 560,673,711

560,673,711
Factor Arrows
3186,891,237
Factor Arrows
362,297,079
Factor Arrows
320,765,693
Factor Arrows
131,597,361

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, 13, 1597361

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 1,597,361 = 560,673,711

This can also be written as 33 x 131 x 1,597,3611 = 560,673,711

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


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