Q: What are the prime factors of the number 150,131,992?

 A: 2, 67, 280097

Why are those the prime factors of the number 150,131,992?

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 150,131,992

150,131,992
Factor Arrows
275,065,996
Factor Arrows
237,532,998
Factor Arrows
218,766,499
Factor Arrows
67280,097

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, 67, 280097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67 x 280,097 = 150,131,992

This can also be written as 23 x 671 x 280,0971 = 150,131,992

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


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