Q: What are the prime factors of the number 26,825,096?

 A: 2, 197, 17021

Why are those the prime factors of the number 26,825,096?

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 26,825,096

26,825,096
Factor Arrows
213,412,548
Factor Arrows
26,706,274
Factor Arrows
23,353,137
Factor Arrows
19717,021

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, 197, 17021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 197 x 17,021 = 26,825,096

This can also be written as 23 x 1971 x 17,0211 = 26,825,096

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


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