Q: What are the prime factors of the number 26,765,564?

 A: 2, 7, 136559

Why are those the prime factors of the number 26,765,564?

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 26,765,564

26,765,564
Factor Arrows
213,382,782
Factor Arrows
26,691,391
Factor Arrows
7955,913
Factor Arrows
7136,559

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, 7, 136559

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 136,559 = 26,765,564

This can also be written as 22 x 72 x 136,5591 = 26,765,564

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


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