Q: What are the prime factors of the number 83,965,271?

 A: 13, 67, 96401

Why are those the prime factors of the number 83,965,271?

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 83,965,271

83,965,271
Factor Arrows
136,458,867
Factor Arrows
6796,401

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:

13, 67, 96401

We can check our work by multiplying all of the prime factors together: 13 x 67 x 96,401 = 83,965,271

This can also be written as 131 x 671 x 96,4011 = 83,965,271

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


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