Q: What are the prime factors of the number 161,304,892?

 A: 2, 7, 809, 7121

Why are those the prime factors of the number 161,304,892?

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 161,304,892

161,304,892
Factor Arrows
280,652,446
Factor Arrows
240,326,223
Factor Arrows
75,760,889
Factor Arrows
8097,121

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, 7, 809, 7121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 809 x 7,121 = 161,304,892

This can also be written as 22 x 71 x 8091 x 7,1211 = 161,304,892

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


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