Q: What are the prime factors of the number 138,607,134?

 A: 2, 3, 1493, 15473

Why are those the prime factors of the number 138,607,134?

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 138,607,134

138,607,134
Factor Arrows
269,303,567
Factor Arrows
323,101,189
Factor Arrows
1,49315,473

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, 1493, 15473

We can check our work by multiplying all of the prime factors together: 2 x 3 x 1,493 x 15,473 = 138,607,134

This can also be written as 21 x 31 x 1,4931 x 15,4731 = 138,607,134

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


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