Q: What are the prime factors of the number 140,627,612?

 A: 2, 23, 29, 52709

Why are those the prime factors of the number 140,627,612?

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 140,627,612

140,627,612
Factor Arrows
270,313,806
Factor Arrows
235,156,903
Factor Arrows
231,528,561
Factor Arrows
2952,709

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, 23, 29, 52709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 29 x 52,709 = 140,627,612

This can also be written as 22 x 231 x 291 x 52,7091 = 140,627,612

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


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