Q: What are the prime factors of the number 24,683,840?

 A: 2, 5, 77137

Why are those the prime factors of the number 24,683,840?

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 24,683,840

24,683,840
Factor Arrows
212,341,920
Factor Arrows
26,170,960
Factor Arrows
23,085,480
Factor Arrows
21,542,740
Factor Arrows
2771,370
Factor Arrows
2385,685
Factor Arrows
577,137

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, 5, 77137

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 5 x 77,137 = 24,683,840

This can also be written as 26 x 51 x 77,1371 = 24,683,840

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


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