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Python – Euler Project # 3 Waiting Time for the Biggest Main Factor

I recently tried the Euler project via HackerRank and I found myself stuck with Project 3, where you have to find the biggest overriding factor.

Question: The prime factors of 13195 are 5, 7, 13 and 29.
What is the biggest prime factor of a given number N?

I've written two different codes that both work for the first four HackerRank problems but exceed the last two. Please, let me know how to optimize my code so that the waiting time does not occur.

Code # 1

for a range in (int (input ())):
n = int (input ())
b = n // 2
i = 1
if b% 2 == 1:
i + = 1
max = 1
while b> 2:
if n% b == 0:
isprime = True
for c in the range (2, int (b ** 0.5) +1):
if b% c == 0:
isprime = False
Pause;
if it's premium:
max = b
Pause;
b- = i
if max == 1:
max = n
print (max)

This one tries to find the first biggest numbers that can divide a particular number, then try to determine where it is first.

Code # 2

for a range in (int (input ())):
n = int (input ())
num = n
b = 2
max = 1
while n> 1 and b <(num // 2) +1:
if n% b == 0:
n // = b
max = b
b + = 1
if max == 1:
max = n
print (max)

This essentially tries to find the last most important factor by multiple division.

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