Q: What are the prime factors of the number 23,951,232?

 A: 2, 3, 17, 1223

Why are those the prime factors of the number 23,951,232?

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 23,951,232

23,951,232
Factor Arrows
211,975,616
Factor Arrows
25,987,808
Factor Arrows
22,993,904
Factor Arrows
21,496,952
Factor Arrows
2748,476
Factor Arrows
2374,238
Factor Arrows
2187,119
Factor Arrows
362,373
Factor Arrows
320,791
Factor Arrows
171,223

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, 17, 1223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 1,223 = 23,951,232

This can also be written as 27 x 32 x 171 x 1,2231 = 23,951,232

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


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