Q: What are the prime factors of the number 25,650,098?

 A: 2, 97, 109, 1213

Why are those the prime factors of the number 25,650,098?

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 25,650,098

25,650,098
Factor Arrows
212,825,049
Factor Arrows
97132,217
Factor Arrows
1091,213

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, 97, 109, 1213

We can check our work by multiplying all of the prime factors together: 2 x 97 x 109 x 1,213 = 25,650,098

This can also be written as 21 x 971 x 1091 x 1,2131 = 25,650,098

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


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