Q: What are the prime factors of the number 116,008,353?

 A: 3, 83, 155299

Why are those the prime factors of the number 116,008,353?

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 116,008,353

116,008,353
Factor Arrows
338,669,451
Factor Arrows
312,889,817
Factor Arrows
83155,299

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:

3, 83, 155299

We can check our work by multiplying all of the prime factors together: 3 x 3 x 83 x 155,299 = 116,008,353

This can also be written as 32 x 831 x 155,2991 = 116,008,353

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


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