Q: What are the prime factors of the number 111,429?

 A: 3, 4127

Why are those the prime factors of the number 111,429?

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 111,429

111,429
Factor Arrows
337,143
Factor Arrows
312,381
Factor Arrows
34,127

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, 4127

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 4,127 = 111,429

This can also be written as 33 x 4,1271 = 111,429

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


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