Q: What are the prime factors of the number 26,890,122?

 A: 2, 3, 7, 91463

Why are those the prime factors of the number 26,890,122?

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 26,890,122

26,890,122
Factor Arrows
213,445,061
Factor Arrows
34,481,687
Factor Arrows
7640,241
Factor Arrows
791,463

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, 91463

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 91,463 = 26,890,122

This can also be written as 21 x 31 x 72 x 91,4631 = 26,890,122

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


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