Q: What are the prime factors of the number 25,536,060?

 A: 2, 3, 5, 11, 1433

Why are those the prime factors of the number 25,536,060?

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 25,536,060

25,536,060
Factor Arrows
212,768,030
Factor Arrows
26,384,015
Factor Arrows
32,128,005
Factor Arrows
3709,335
Factor Arrows
3236,445
Factor Arrows
378,815
Factor Arrows
515,763
Factor Arrows
111,433

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, 5, 11, 1433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 1,433 = 25,536,060

This can also be written as 22 x 34 x 51 x 111 x 1,4331 = 25,536,060

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


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