Q: What are the prime factors of the number 136,755,175?

 A: 5, 89, 61463

Why are those the prime factors of the number 136,755,175?

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 136,755,175

136,755,175
Factor Arrows
527,351,035
Factor Arrows
55,470,207
Factor Arrows
8961,463

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, 89, 61463

We can check our work by multiplying all of the prime factors together: 5 x 5 x 89 x 61,463 = 136,755,175

This can also be written as 52 x 891 x 61,4631 = 136,755,175

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


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