Q: What are the prime factors of the number 25,424,217?

 A: 3, 7, 13, 37, 839

Why are those the prime factors of the number 25,424,217?

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 25,424,217

25,424,217
Factor Arrows
38,474,739
Factor Arrows
32,824,913
Factor Arrows
7403,559
Factor Arrows
1331,043
Factor Arrows
37839

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:

3, 7, 13, 37, 839

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 13 x 37 x 839 = 25,424,217

This can also be written as 32 x 71 x 131 x 371 x 8391 = 25,424,217

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


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