Q: What are the prime factors of the number 138,526,612?

 A: 2, 7, 359, 13781

Why are those the prime factors of the number 138,526,612?

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 138,526,612

138,526,612
Factor Arrows
269,263,306
Factor Arrows
234,631,653
Factor Arrows
74,947,379
Factor Arrows
35913,781

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, 359, 13781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 359 x 13,781 = 138,526,612

This can also be written as 22 x 71 x 3591 x 13,7811 = 138,526,612

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


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