Q: What are the prime factors of the number 10,560,759?

 A: 3, 11, 47, 619

Why are those the prime factors of the number 10,560,759?

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 10,560,759

10,560,759
Factor Arrows
33,520,253
Factor Arrows
11320,023
Factor Arrows
1129,093
Factor Arrows
47619

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, 11, 47, 619

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 47 x 619 = 10,560,759

This can also be written as 31 x 112 x 471 x 6191 = 10,560,759

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


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