Q: What are the prime factors of the number 26,236,656?

 A: 2, 3, 60733

Why are those the prime factors of the number 26,236,656?

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 26,236,656

26,236,656
Factor Arrows
213,118,328
Factor Arrows
26,559,164
Factor Arrows
23,279,582
Factor Arrows
21,639,791
Factor Arrows
3546,597
Factor Arrows
3182,199
Factor Arrows
360,733

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, 60733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 60,733 = 26,236,656

This can also be written as 24 x 33 x 60,7331 = 26,236,656

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


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