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The security of RSA algorithm depends upon the positive integer N, which isthe multiple of two precise large prime numbers. Factorization of such greatnumbers is a problematic process. There are many algorithms has beenimplemented in the past years. The offered KNJ -Factorization algorithmcontributes a deterministic way to factorize RSA. The algorithm limits thesearch by only considering the prime values. Subsequently prime numbers are oddnumbers accordingly it also requires smaller number steps to factorize RSA. Inthis paper, the anticipated algorithm is very simple besides it is very easy tounderstand and implement. The main concept of this KNJ factorization algorithmis, to check only those factors which are odd and prime. The proposed KNJ-Factorization algorithm works very efficiently on those factors; which areadjoining and close to N. The proposed factorization method can speed up if wecan reduce the time for primality testing. It fundamentally decreases the timecomplexity.

Modified Trial Division Algorithm Using KNJ-Factorization Method To Factorize RSA Public Key Encryption