Q: What are the prime factors of the number 26,326,036?

 A: 2, 11, 59, 10141

Why are those the prime factors of the number 26,326,036?

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 26,326,036

26,326,036
Factor Arrows
213,163,018
Factor Arrows
26,581,509
Factor Arrows
11598,319
Factor Arrows
5910,141

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, 59, 10141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 59 x 10,141 = 26,326,036

This can also be written as 22 x 111 x 591 x 10,1411 = 26,326,036

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


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