Q: What are the prime factors of the number 25,341,252?

 A: 2, 3, 2111771

Why are those the prime factors of the number 25,341,252?

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 25,341,252

25,341,252
Factor Arrows
212,670,626
Factor Arrows
26,335,313
Factor Arrows
32,111,771

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, 2111771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 2,111,771 = 25,341,252

This can also be written as 22 x 31 x 2,111,7711 = 25,341,252

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


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