Code in Python: We have seen in class that the method of trial division can be...
Code in Python:
We have seen in class that the method of trial division can be used to find the smallest prime factor of an integer n ≥ 2. For this problem, we want to use trial division to find the largest prime factor of n instead.
Task: Write a procedure in Python that takes an integer n ≥ 2 as input, and returns its largest prime factor.
Test Values: The largest prime factor of 13195 is 29. The largest prime factor of 23508701 is 322037.
Homework Answers
#Python program to find the largest prime factor of a given number
def largestPrime(number):
#This function accepts a number and return the largest prime
factor
factor=2;
j=2;
while (number>1) :
while (number % j==0):
factor=j; # assigning/overwriting the larger prime factor to
factor
number=number/j;
j=j+1; # if j does not equally devides number
return factor
k1=largestPrime(13195);
print k1
k2=largestPrime(23508701);
print k2
#-----------------------------------------------------
snapshot
output
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