Q: What are the prime factors of the number 25,512,333?

 A: 3, 7, 11, 179, 617

Why are those the prime factors of the number 25,512,333?

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 25,512,333

25,512,333
Factor Arrows
38,504,111
Factor Arrows
71,214,873
Factor Arrows
11110,443
Factor Arrows
179617

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, 7, 11, 179, 617

We can check our work by multiplying all of the prime factors together: 3 x 7 x 11 x 179 x 617 = 25,512,333

This can also be written as 31 x 71 x 111 x 1791 x 6171 = 25,512,333

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


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