Q: What are the prime factors of the number 26,866,480?

 A: 2, 5, 41, 8191

Why are those the prime factors of the number 26,866,480?

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 26,866,480

26,866,480
Factor Arrows
213,433,240
Factor Arrows
26,716,620
Factor Arrows
23,358,310
Factor Arrows
21,679,155
Factor Arrows
5335,831
Factor Arrows
418,191

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, 41, 8191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 41 x 8,191 = 26,866,480

This can also be written as 24 x 51 x 411 x 8,1911 = 26,866,480

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


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