Q: What are the prime factors of the number 90,392?

 A: 2, 11299

Why are those the prime factors of the number 90,392?

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 90,392

90,392
Factor Arrows
245,196
Factor Arrows
222,598
Factor Arrows
211,299

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, 11299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11,299 = 90,392

This can also be written as 23 x 11,2991 = 90,392

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


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