Q: What are the prime factors of the number 24,670,288?

 A: 2, 251, 6143

Why are those the prime factors of the number 24,670,288?

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 24,670,288

24,670,288
Factor Arrows
212,335,144
Factor Arrows
26,167,572
Factor Arrows
23,083,786
Factor Arrows
21,541,893
Factor Arrows
2516,143

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, 251, 6143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 251 x 6,143 = 24,670,288

This can also be written as 24 x 2511 x 6,1431 = 24,670,288

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


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