Q: What are the prime factors of the number 26,667,322?

 A: 2, 11, 17, 113, 631

Why are those the prime factors of the number 26,667,322?

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 26,667,322

26,667,322
Factor Arrows
213,333,661
Factor Arrows
111,212,151
Factor Arrows
1771,303
Factor Arrows
113631

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, 11, 17, 113, 631

We can check our work by multiplying all of the prime factors together: 2 x 11 x 17 x 113 x 631 = 26,667,322

This can also be written as 21 x 111 x 171 x 1131 x 6311 = 26,667,322

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


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