Q: What are the prime factors of the number 25,494,876?

 A: 2, 3, 11, 64381

Why are those the prime factors of the number 25,494,876?

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 25,494,876

25,494,876
Factor Arrows
212,747,438
Factor Arrows
26,373,719
Factor Arrows
32,124,573
Factor Arrows
3708,191
Factor Arrows
1164,381

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, 11, 64381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 64,381 = 25,494,876

This can also be written as 22 x 32 x 111 x 64,3811 = 25,494,876

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


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