Q: What are the prime factors of the number 26,284,448?

 A: 2, 17, 19, 2543

Why are those the prime factors of the number 26,284,448?

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 26,284,448

26,284,448
Factor Arrows
213,142,224
Factor Arrows
26,571,112
Factor Arrows
23,285,556
Factor Arrows
21,642,778
Factor Arrows
2821,389
Factor Arrows
1748,317
Factor Arrows
192,543

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, 17, 19, 2543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 19 x 2,543 = 26,284,448

This can also be written as 25 x 171 x 191 x 2,5431 = 26,284,448

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


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