Q: What are the prime factors of the number 128,775,185?

 A: 5, 7, 11, 71, 673

Why are those the prime factors of the number 128,775,185?

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 128,775,185

128,775,185
Factor Arrows
525,755,037
Factor Arrows
73,679,291
Factor Arrows
7525,613
Factor Arrows
1147,783
Factor Arrows
71673

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:

5, 7, 11, 71, 673

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 11 x 71 x 673 = 128,775,185

This can also be written as 51 x 72 x 111 x 711 x 6731 = 128,775,185

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


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