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Prime factorization is a way to express every composite number as the product of prime numbers(or prime factors).

Let us consider the number 100.

Prime factorization of 100 = 2 x 2 x 5 x 5.

It can be seen that there are two distinct prime factors: 2 and 5. And 5 is the greatest prime factor.

100 can be expressed as 2 x 50. The only prime factor we have in this expression is 2 and this makes us to think that 2 is the only prime factor of 100, which is untrue.

So with the help of prime factorization it is possible to find all the prime factors and the greatest prime factor.

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Q: How do you find the greatest prime factor by using prime factorization?
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