Q: What are the prime factors of the number 112,132,206?

 A: 2, 3, 53, 117539

Why are those the prime factors of the number 112,132,206?

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 112,132,206

112,132,206
Factor Arrows
256,066,103
Factor Arrows
318,688,701
Factor Arrows
36,229,567
Factor Arrows
53117,539

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, 53, 117539

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 53 x 117,539 = 112,132,206

This can also be written as 21 x 32 x 531 x 117,5391 = 112,132,206

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


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