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Well, I have a manual method that will tell you how to find the largest prime factor.
For example, we have two numbers 1996 and 99999 and we want to find their prime factors. First of all we have to construct a tree of these numbers as below:
1996
998,2
449,2,2
1996 = 2*2*499
99999
33333,3
11111,3,3
271,41,3,3
99999 = 3*3*41*271
If you note in the above examples the largest prime factors are 499 and 271. Similarly, for any number you can find the prime factor by using the above method.
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