whats wrong with this code

Question

#!/usr/bin/python3

##show prime factors of an intager

#it's a function to check if the factor is prime
#begin --->
def ifprime(n):
if n<2:
return False
elif n==2:
return True
else:
for m in range(2,n):
if n%m==0:
return False
return True
#it's a function to check if the factor is prime
#<--- end

#it's a function that give you an array of the prime factors of a number
#begin --->
def factors(n):
i=n
arr=[]
if ifprime(i):
arr.append(i)
else:
while(i>1):
for j in range(2,i):
if ifprime(j):
if i%j==0:
arr.append(j)
i=int(i/j)
arr.sort()
return arr
#it's a function that give you an array of the prime factors of a number
#<--- end

#it's a function that make the prime factor string
#begin --->
def makepfstr(factorsarr):
s=""
for i in factorsarr:
s+="("+str(i)+")*"
return s[:-1]
#<--- end
#it's a function that make the prime factor string

i=int(input("Give me the number:"))
print("i="+makepfstr(factors(i)))

Answer 1

it's working correctly.
but sometimes showing time limit exceeded problems that's when it takes too much time to run in sololearn's server.
so code is correct it's working.
nothing wrong in the code.