Q: What are the prime factors of the number 160,326,608?

 A: 2, 13, 770801

Why are those the prime factors of the number 160,326,608?

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 160,326,608

160,326,608
Factor Arrows
280,163,304
Factor Arrows
240,081,652
Factor Arrows
220,040,826
Factor Arrows
210,020,413
Factor Arrows
13770,801

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, 13, 770801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 770,801 = 160,326,608

This can also be written as 24 x 131 x 770,8011 = 160,326,608

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


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