Q: What are the prime factors of the number 75,964,864?

 A: 2, 107, 11093

Why are those the prime factors of the number 75,964,864?

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 75,964,864

75,964,864
Factor Arrows
237,982,432
Factor Arrows
218,991,216
Factor Arrows
29,495,608
Factor Arrows
24,747,804
Factor Arrows
22,373,902
Factor Arrows
21,186,951
Factor Arrows
10711,093

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, 107, 11093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 107 x 11,093 = 75,964,864

This can also be written as 26 x 1071 x 11,0931 = 75,964,864

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


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