Q: What are the prime factors of the number 26,391,100?

 A: 2, 5, 263911

Why are those the prime factors of the number 26,391,100?

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 26,391,100

26,391,100
Factor Arrows
213,195,550
Factor Arrows
26,597,775
Factor Arrows
51,319,555
Factor Arrows
5263,911

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, 5, 263911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 263,911 = 26,391,100

This can also be written as 22 x 52 x 263,9111 = 26,391,100

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


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