Q: What are the prime factors of the number 95,960?

 A: 2, 5, 2399

Why are those the prime factors of the number 95,960?

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 95,960

95,960
Factor Arrows
247,980
Factor Arrows
223,990
Factor Arrows
211,995
Factor Arrows
52,399

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, 5, 2399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 2,399 = 95,960

This can also be written as 23 x 51 x 2,3991 = 95,960

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


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