Q: What are the prime factors of the number 26,569,062?

 A: 2, 3, 13, 17, 6679

Why are those the prime factors of the number 26,569,062?

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 26,569,062

26,569,062
Factor Arrows
213,284,531
Factor Arrows
34,428,177
Factor Arrows
31,476,059
Factor Arrows
13113,543
Factor Arrows
176,679

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, 13, 17, 6679

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 17 x 6,679 = 26,569,062

This can also be written as 21 x 32 x 131 x 171 x 6,6791 = 26,569,062

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


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