Q: What are the prime factors of the number 166,516,449?

 A: 3, 11, 647, 709

Why are those the prime factors of the number 166,516,449?

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 166,516,449

166,516,449
Factor Arrows
355,505,483
Factor Arrows
115,045,953
Factor Arrows
11458,723
Factor Arrows
647709

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, 647, 709

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 647 x 709 = 166,516,449

This can also be written as 31 x 112 x 6471 x 7091 = 166,516,449

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


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