Q: What are the prime factors of the number 26,838,801?

 A: 3, 11, 17, 37, 431

Why are those the prime factors of the number 26,838,801?

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 26,838,801

26,838,801
Factor Arrows
38,946,267
Factor Arrows
32,982,089
Factor Arrows
11271,099
Factor Arrows
1715,947
Factor Arrows
37431

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:

3, 11, 17, 37, 431

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 17 x 37 x 431 = 26,838,801

This can also be written as 32 x 111 x 171 x 371 x 4311 = 26,838,801

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


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