Q: What are the prime factors of the number 24,877,312?

 A: 2, 97177

Why are those the prime factors of the number 24,877,312?

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 24,877,312

24,877,312
Factor Arrows
212,438,656
Factor Arrows
26,219,328
Factor Arrows
23,109,664
Factor Arrows
21,554,832
Factor Arrows
2777,416
Factor Arrows
2388,708
Factor Arrows
2194,354
Factor Arrows
297,177

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, 97177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 97,177 = 24,877,312

This can also be written as 28 x 97,1771 = 24,877,312

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


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