Q: What are the prime factors of the number 26,503,952?

 A: 2, 17, 97441

Why are those the prime factors of the number 26,503,952?

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 26,503,952

26,503,952
Factor Arrows
213,251,976
Factor Arrows
26,625,988
Factor Arrows
23,312,994
Factor Arrows
21,656,497
Factor Arrows
1797,441

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, 17, 97441

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 97,441 = 26,503,952

This can also be written as 24 x 171 x 97,4411 = 26,503,952

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


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