Q: What are the prime factors of the number 24,753,336?

 A: 2, 3, 23, 44843

Why are those the prime factors of the number 24,753,336?

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 24,753,336

24,753,336
Factor Arrows
212,376,668
Factor Arrows
26,188,334
Factor Arrows
23,094,167
Factor Arrows
31,031,389
Factor Arrows
2344,843

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, 23, 44843

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 23 x 44,843 = 24,753,336

This can also be written as 23 x 31 x 231 x 44,8431 = 24,753,336

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


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