Q: What are the prime factors of the number 133,640,124?

 A: 2, 3, 577, 19301

Why are those the prime factors of the number 133,640,124?

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 133,640,124

133,640,124
Factor Arrows
266,820,062
Factor Arrows
233,410,031
Factor Arrows
311,136,677
Factor Arrows
57719,301

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, 577, 19301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 577 x 19,301 = 133,640,124

This can also be written as 22 x 31 x 5771 x 19,3011 = 133,640,124

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


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