Q: What are the prime factors of the number 23,247?

 A: 3, 7, 41

Why are those the prime factors of the number 23,247?

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 23,247

23,247
Factor Arrows
37,749
Factor Arrows
32,583
Factor Arrows
3861
Factor Arrows
3287
Factor Arrows
741

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, 7, 41

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 41 = 23,247

This can also be written as 34 x 71 x 411 = 23,247

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


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