Q: What are the prime factors of the number 127,568,740?

 A: 2, 5, 13, 419, 1171

Why are those the prime factors of the number 127,568,740?

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 127,568,740

127,568,740
Factor Arrows
263,784,370
Factor Arrows
231,892,185
Factor Arrows
56,378,437
Factor Arrows
13490,649
Factor Arrows
4191,171

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, 5, 13, 419, 1171

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 419 x 1,171 = 127,568,740

This can also be written as 22 x 51 x 131 x 4191 x 1,1711 = 127,568,740

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


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