Q: What are the prime factors of the number 116,476?

 A: 2, 37, 787

Why are those the prime factors of the number 116,476?

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 116,476

116,476
Factor Arrows
258,238
Factor Arrows
229,119
Factor Arrows
37787

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, 37, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 37 x 787 = 116,476

This can also be written as 22 x 371 x 7871 = 116,476

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


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