Q: What are the prime factors of the number 56,527,317?

 A: 3, 7, 11, 81569

Why are those the prime factors of the number 56,527,317?

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 56,527,317

56,527,317
Factor Arrows
318,842,439
Factor Arrows
36,280,813
Factor Arrows
7897,259
Factor Arrows
1181,569

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, 7, 11, 81569

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 81,569 = 56,527,317

This can also be written as 32 x 71 x 111 x 81,5691 = 56,527,317

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


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