Q: What are the prime factors of the number 26,608,644?

 A: 2, 3, 109, 6781

Why are those the prime factors of the number 26,608,644?

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 26,608,644

26,608,644
Factor Arrows
213,304,322
Factor Arrows
26,652,161
Factor Arrows
32,217,387
Factor Arrows
3739,129
Factor Arrows
1096,781

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, 109, 6781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 109 x 6,781 = 26,608,644

This can also be written as 22 x 32 x 1091 x 6,7811 = 26,608,644

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


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