Q: What are the prime factors of the number 26,125,536?

 A: 2, 3, 272141

Why are those the prime factors of the number 26,125,536?

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 26,125,536

26,125,536
Factor Arrows
213,062,768
Factor Arrows
26,531,384
Factor Arrows
23,265,692
Factor Arrows
21,632,846
Factor Arrows
2816,423
Factor Arrows
3272,141

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, 3, 272141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 272,141 = 26,125,536

This can also be written as 25 x 31 x 272,1411 = 26,125,536

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


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