Q: What are the prime factors of the number 137,796?

 A: 2, 3, 11483

Why are those the prime factors of the number 137,796?

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 137,796

137,796
Factor Arrows
268,898
Factor Arrows
234,449
Factor Arrows
311,483

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, 3, 11483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11,483 = 137,796

This can also be written as 22 x 31 x 11,4831 = 137,796

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


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