Q: What are the prime factors of the number 51,566,571?

 A: 3, 7, 38977

Why are those the prime factors of the number 51,566,571?

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 51,566,571

51,566,571
Factor Arrows
317,188,857
Factor Arrows
35,729,619
Factor Arrows
31,909,873
Factor Arrows
7272,839
Factor Arrows
738,977

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, 38977

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 7 x 38,977 = 51,566,571

This can also be written as 33 x 72 x 38,9771 = 51,566,571

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


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