Q: What are the prime factors of the number 25,144,836?

 A: 2, 3, 17, 123259

Why are those the prime factors of the number 25,144,836?

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 25,144,836

25,144,836
Factor Arrows
212,572,418
Factor Arrows
26,286,209
Factor Arrows
32,095,403
Factor Arrows
17123,259

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, 17, 123259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 123,259 = 25,144,836

This can also be written as 22 x 31 x 171 x 123,2591 = 25,144,836

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


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