Q: What are the prime factors of the number 24,003,764?

 A: 2, 19, 29, 10891

Why are those the prime factors of the number 24,003,764?

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 24,003,764

24,003,764
Factor Arrows
212,001,882
Factor Arrows
26,000,941
Factor Arrows
19315,839
Factor Arrows
2910,891

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, 19, 29, 10891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 29 x 10,891 = 24,003,764

This can also be written as 22 x 191 x 291 x 10,8911 = 24,003,764

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


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