Q: What are the prime factors of the number 26,600,736?

 A: 2, 3, 401, 691

Why are those the prime factors of the number 26,600,736?

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 26,600,736

26,600,736
Factor Arrows
213,300,368
Factor Arrows
26,650,184
Factor Arrows
23,325,092
Factor Arrows
21,662,546
Factor Arrows
2831,273
Factor Arrows
3277,091
Factor Arrows
401691

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, 401, 691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 401 x 691 = 26,600,736

This can also be written as 25 x 31 x 4011 x 6911 = 26,600,736

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


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