Q: What are the prime factors of the number 26,016,952?

 A: 2, 13, 97, 2579

Why are those the prime factors of the number 26,016,952?

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 26,016,952

26,016,952
Factor Arrows
213,008,476
Factor Arrows
26,504,238
Factor Arrows
23,252,119
Factor Arrows
13250,163
Factor Arrows
972,579

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, 13, 97, 2579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 97 x 2,579 = 26,016,952

This can also be written as 23 x 131 x 971 x 2,5791 = 26,016,952

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


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