Q: What are the prime factors of the number 112,365?

 A: 3, 5, 11, 227

Why are those the prime factors of the number 112,365?

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 112,365

112,365
Factor Arrows
337,455
Factor Arrows
312,485
Factor Arrows
52,497
Factor Arrows
11227

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, 5, 11, 227

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 11 x 227 = 112,365

This can also be written as 32 x 51 x 111 x 2271 = 112,365

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


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