Q: What are the prime factors of the number 127,064,772?

 A: 2, 3, 229, 15413

Why are those the prime factors of the number 127,064,772?

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 127,064,772

127,064,772
Factor Arrows
263,532,386
Factor Arrows
231,766,193
Factor Arrows
310,588,731
Factor Arrows
33,529,577
Factor Arrows
22915,413

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, 229, 15413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 229 x 15,413 = 127,064,772

This can also be written as 22 x 32 x 2291 x 15,4131 = 127,064,772

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


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