Q: What are the prime factors of the number 25,323,536?

 A: 2, 7, 226103

Why are those the prime factors of the number 25,323,536?

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 25,323,536

25,323,536
Factor Arrows
212,661,768
Factor Arrows
26,330,884
Factor Arrows
23,165,442
Factor Arrows
21,582,721
Factor Arrows
7226,103

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, 7, 226103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 226,103 = 25,323,536

This can also be written as 24 x 71 x 226,1031 = 25,323,536

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


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