Q: What are the prime factors of the number 127,000,752?

 A: 2, 3, 2645849

Why are those the prime factors of the number 127,000,752?

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 127,000,752

127,000,752
Factor Arrows
263,500,376
Factor Arrows
231,750,188
Factor Arrows
215,875,094
Factor Arrows
27,937,547
Factor Arrows
32,645,849

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, 2645849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 2,645,849 = 127,000,752

This can also be written as 24 x 31 x 2,645,8491 = 127,000,752

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


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