Q: What are the prime factors of the number 26,260,668?

 A: 2, 3, 7, 14887

Why are those the prime factors of the number 26,260,668?

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 26,260,668

26,260,668
Factor Arrows
213,130,334
Factor Arrows
26,565,167
Factor Arrows
32,188,389
Factor Arrows
3729,463
Factor Arrows
7104,209
Factor Arrows
714,887

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, 7, 14887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 14,887 = 26,260,668

This can also be written as 22 x 32 x 72 x 14,8871 = 26,260,668

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


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