Q: What are the prime factors of the number 68,096,115?

 A: 3, 5, 109, 13883

Why are those the prime factors of the number 68,096,115?

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 68,096,115

68,096,115
Factor Arrows
322,698,705
Factor Arrows
37,566,235
Factor Arrows
51,513,247
Factor Arrows
10913,883

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, 5, 109, 13883

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 109 x 13,883 = 68,096,115

This can also be written as 32 x 51 x 1091 x 13,8831 = 68,096,115

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


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