Q: What are the prime factors of the number 114,234?

 A: 2, 3, 79, 241

Why are those the prime factors of the number 114,234?

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 114,234

114,234
Factor Arrows
257,117
Factor Arrows
319,039
Factor Arrows
79241

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, 79, 241

We can check our work by multiplying all of the prime factors together: 2 x 3 x 79 x 241 = 114,234

This can also be written as 21 x 31 x 791 x 2411 = 114,234

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


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