Q: What are the prime factors of the number 26,825,630?

 A: 2, 5, 13, 206351

Why are those the prime factors of the number 26,825,630?

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 26,825,630

26,825,630
Factor Arrows
213,412,815
Factor Arrows
52,682,563
Factor Arrows
13206,351

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, 13, 206351

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 206,351 = 26,825,630

This can also be written as 21 x 51 x 131 x 206,3511 = 26,825,630

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


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