Q: What are the prime factors of the number 114,504?

 A: 2, 3, 13, 367

Why are those the prime factors of the number 114,504?

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 114,504

114,504
Factor Arrows
257,252
Factor Arrows
228,626
Factor Arrows
214,313
Factor Arrows
34,771
Factor Arrows
13367

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, 13, 367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 13 x 367 = 114,504

This can also be written as 23 x 31 x 131 x 3671 = 114,504

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


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