Q: What are the prime factors of the number 26,650,404?

 A: 2, 3, 11, 22433

Why are those the prime factors of the number 26,650,404?

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 26,650,404

26,650,404
Factor Arrows
213,325,202
Factor Arrows
26,662,601
Factor Arrows
32,220,867
Factor Arrows
3740,289
Factor Arrows
3246,763
Factor Arrows
1122,433

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, 11, 22433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 22,433 = 26,650,404

This can also be written as 22 x 33 x 111 x 22,4331 = 26,650,404

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


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