Q: What are the prime factors of the number 24,560,550?

 A: 2, 3, 5, 7, 23, 113

Why are those the prime factors of the number 24,560,550?

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 24,560,550

24,560,550
Factor Arrows
212,280,275
Factor Arrows
34,093,425
Factor Arrows
31,364,475
Factor Arrows
3454,825
Factor Arrows
590,965
Factor Arrows
518,193
Factor Arrows
72,599
Factor Arrows
23113

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, 3, 5, 7, 23, 113

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 7 x 23 x 113 = 24,560,550

This can also be written as 21 x 33 x 52 x 71 x 231 x 1131 = 24,560,550

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


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