Q: What are the prime factors of the number 25,153,524?

 A: 2, 3, 11, 31, 683

Why are those the prime factors of the number 25,153,524?

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 25,153,524

25,153,524
Factor Arrows
212,576,762
Factor Arrows
26,288,381
Factor Arrows
32,096,127
Factor Arrows
3698,709
Factor Arrows
3232,903
Factor Arrows
1121,173
Factor Arrows
31683

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, 31, 683

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 31 x 683 = 25,153,524

This can also be written as 22 x 33 x 111 x 311 x 6831 = 25,153,524

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


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