Discussion on: Daily Challenge #7 - Factorial Decomposition

import math

var = int(input("Enter the number: "))
fac = math.factorial(var)

def prime(x):
        for i in range(3,x-1,2):
                if x%i == 0:
                        return False
        return True

def decomp(x,fac):
        for i in range(fac):
                if fac % x**i != 0:
                        return i-1

print('2^' + str(decomp(2,fac)), end='')
for i in range(3,var+1,2):
        if prime(i) == True:
                e = decomp(i,fac)
                if e != 1:
                        print(' * ' + str(i) + '^' + str(e), end='')
                else:
                        print(' * ' + str(i), end='')
        else:
                continue

print('\n')