Q: What are the prime factors of the number 127,025,626?

 A: 2, 7, 13, 29, 41, 587

Why are those the prime factors of the number 127,025,626?

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 127,025,626

127,025,626
Factor Arrows
263,512,813
Factor Arrows
79,073,259
Factor Arrows
13697,943
Factor Arrows
2924,067
Factor Arrows
41587

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, 13, 29, 41, 587

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 29 x 41 x 587 = 127,025,626

This can also be written as 21 x 71 x 131 x 291 x 411 x 5871 = 127,025,626

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


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