Q: What are the prime factors of the number 162,160,355?

 A: 5, 7, 661879

Why are those the prime factors of the number 162,160,355?

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 162,160,355

162,160,355
Factor Arrows
532,432,071
Factor Arrows
74,633,153
Factor Arrows
7661,879

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:

5, 7, 661879

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 661,879 = 162,160,355

This can also be written as 51 x 72 x 661,8791 = 162,160,355

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


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