Q: What are the prime factors of the number 169,118,016?

 A: 2, 3, 880823

Why are those the prime factors of the number 169,118,016?

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 169,118,016

169,118,016
Factor Arrows
284,559,008
Factor Arrows
242,279,504
Factor Arrows
221,139,752
Factor Arrows
210,569,876
Factor Arrows
25,284,938
Factor Arrows
22,642,469
Factor Arrows
3880,823

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, 3, 880823

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 880,823 = 169,118,016

This can also be written as 26 x 31 x 880,8231 = 169,118,016

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


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