Q: What are the prime factors of the number 25,797,180?

 A: 2, 3, 5, 429953

Why are those the prime factors of the number 25,797,180?

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 25,797,180

25,797,180
Factor Arrows
212,898,590
Factor Arrows
26,449,295
Factor Arrows
32,149,765
Factor Arrows
5429,953

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, 429953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 429,953 = 25,797,180

This can also be written as 22 x 31 x 51 x 429,9531 = 25,797,180

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


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