Q: What are the prime factors of the number 127,363,266?

 A: 2, 3, 863, 911

Why are those the prime factors of the number 127,363,266?

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 127,363,266

127,363,266
Factor Arrows
263,681,633
Factor Arrows
321,227,211
Factor Arrows
37,075,737
Factor Arrows
32,358,579
Factor Arrows
3786,193
Factor Arrows
863911

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, 863, 911

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 863 x 911 = 127,363,266

This can also be written as 21 x 34 x 8631 x 9111 = 127,363,266

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


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