Q: What are the prime factors of the number 162,631,564?

 A: 2, 19, 389, 5501

Why are those the prime factors of the number 162,631,564?

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 162,631,564

162,631,564
Factor Arrows
281,315,782
Factor Arrows
240,657,891
Factor Arrows
192,139,889
Factor Arrows
3895,501

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:

2, 19, 389, 5501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 389 x 5,501 = 162,631,564

This can also be written as 22 x 191 x 3891 x 5,5011 = 162,631,564

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


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