Q: What are the prime factors of the number 25,510,480?

 A: 2, 5, 318881

Why are those the prime factors of the number 25,510,480?

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 25,510,480

25,510,480
Factor Arrows
212,755,240
Factor Arrows
26,377,620
Factor Arrows
23,188,810
Factor Arrows
21,594,405
Factor Arrows
5318,881

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, 318881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 318,881 = 25,510,480

This can also be written as 24 x 51 x 318,8811 = 25,510,480

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


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