Q: What are the prime factors of the number 25,959,015?

 A: 3, 5, 37, 5197

Why are those the prime factors of the number 25,959,015?

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 25,959,015

25,959,015
Factor Arrows
38,653,005
Factor Arrows
32,884,335
Factor Arrows
3961,445
Factor Arrows
5192,289
Factor Arrows
375,197

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:

3, 5, 37, 5197

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 37 x 5,197 = 25,959,015

This can also be written as 33 x 51 x 371 x 5,1971 = 25,959,015

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


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