Q: What are the prime factors of the number 560,164,825?

 A: 5, 11, 2036963

Why are those the prime factors of the number 560,164,825?

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 560,164,825

560,164,825
Factor Arrows
5112,032,965
Factor Arrows
522,406,593
Factor Arrows
112,036,963

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, 11, 2036963

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 2,036,963 = 560,164,825

This can also be written as 52 x 111 x 2,036,9631 = 560,164,825

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


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