Q: What are the prime factors of the number 134,131,304?

 A: 2, 127, 132019

Why are those the prime factors of the number 134,131,304?

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 134,131,304

134,131,304
Factor Arrows
267,065,652
Factor Arrows
233,532,826
Factor Arrows
216,766,413
Factor Arrows
127132,019

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, 127, 132019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 127 x 132,019 = 134,131,304

This can also be written as 23 x 1271 x 132,0191 = 134,131,304

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


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