Q: What are the prime factors of the number 24,450,560?

 A: 2, 5, 9551

Why are those the prime factors of the number 24,450,560?

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 24,450,560

24,450,560
Factor Arrows
212,225,280
Factor Arrows
26,112,640
Factor Arrows
23,056,320
Factor Arrows
21,528,160
Factor Arrows
2764,080
Factor Arrows
2382,040
Factor Arrows
2191,020
Factor Arrows
295,510
Factor Arrows
247,755
Factor Arrows
59,551

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, 9551

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 2 x 5 x 9,551 = 24,450,560

This can also be written as 29 x 51 x 9,5511 = 24,450,560

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


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