Q: What are the prime factors of the number 24,044,144?

 A: 2, 1502759

Why are those the prime factors of the number 24,044,144?

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 24,044,144

24,044,144
Factor Arrows
212,022,072
Factor Arrows
26,011,036
Factor Arrows
23,005,518
Factor Arrows
21,502,759

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, 1502759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 1,502,759 = 24,044,144

This can also be written as 24 x 1,502,7591 = 24,044,144

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


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