Q: What are the prime factors of the number 96,464?

 A: 2, 6029

Why are those the prime factors of the number 96,464?

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 96,464

96,464
Factor Arrows
248,232
Factor Arrows
224,116
Factor Arrows
212,058
Factor Arrows
26,029

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, 6029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 6,029 = 96,464

This can also be written as 24 x 6,0291 = 96,464

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


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