Q: What are the prime factors of the number 95,760,027?

 A: 3, 11, 103, 9391

Why are those the prime factors of the number 95,760,027?

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 95,760,027

95,760,027
Factor Arrows
331,920,009
Factor Arrows
310,640,003
Factor Arrows
11967,273
Factor Arrows
1039,391

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:

3, 11, 103, 9391

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 103 x 9,391 = 95,760,027

This can also be written as 32 x 111 x 1031 x 9,3911 = 95,760,027

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


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