prime factors of a number,using definatons,ehile loop and for loop

prime factors of a number in python.py

def prime_number(n):
    for n in range(2, n + 1):
        if n > 1:
            for y in range(2, n):
                if n % y == 0:
                    break
            else:
                prime.append(n)


ans = list()
final = list()
prime = list()


def process(y):
    while y > 1:
        for i in range(len(prime)):
            if y % prime[i] == 0:
                y = y / prime[i]
                ans.append(prime[i])
                break


def factor_form():
    for p in range(len(ans)):
        while ans[p] not in final:
            final.append(ans[p])

    for x in range(len(final)):
        print(f"{final[x]}^{ans.count(final[x])}", end="* ")
    print("1")


num = int(input("enter a number: "))
prime_number(num)
process(num)
print(f"the  prime factors of {int(num)} is {ans}")
factor_form()