Q: What are the prime factors of the number 24,332,024?

 A: 2, 31, 41, 2393

Why are those the prime factors of the number 24,332,024?

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 24,332,024

24,332,024
Factor Arrows
212,166,012
Factor Arrows
26,083,006
Factor Arrows
23,041,503
Factor Arrows
3198,113
Factor Arrows
412,393

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, 31, 41, 2393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 31 x 41 x 2,393 = 24,332,024

This can also be written as 23 x 311 x 411 x 2,3931 = 24,332,024

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


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