Q: What are the prime factors of the number 178,161,952?

 A: 2, 5567561

Why are those the prime factors of the number 178,161,952?

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 178,161,952

178,161,952
Factor Arrows
289,080,976
Factor Arrows
244,540,488
Factor Arrows
222,270,244
Factor Arrows
211,135,122
Factor Arrows
25,567,561

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, 5567561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5,567,561 = 178,161,952

This can also be written as 25 x 5,567,5611 = 178,161,952

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


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