Python Program for Check if all digits of a number divide it

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Python Program for Check if all digits of a number divide it

Given a number n, find whether all digits of n divide it or not.

Examples:

Input : 128
Output : Yes
128 % 1 == 0, 128 % 2 == 0, and 128 % 8 == 0.

Input : 130
Output : No

We want to test whether each digit is non-zero and divides the number. For example, with 128, we want to test d != 0 && 128 % d == 0 for d = 1, 2, 8. To do that, we need to iterate over each digit of the number.

# Python 3 program to
# check the number is
# divisible by all 
# digits are not.
 
# Function to check 
# the divisibility 
# of the number by
# its digit.
def checkDivisibility(n, digit) :
     
    # If the digit divides the
    # number then return true
    # else return false.
    return (digit != 0 and n % digit == 0)
     
# Function to check if
# all digits of n divide
# it or not
def allDigitsDivide( n) :
     
    temp = n
    while (temp > 0) :
         
        # Taking the digit of
        # the number into digit
        # var.
        digit = n % 10
        if ((checkDivisibility(n, digit)) == False) :
            return False
 
        temp = temp // 10
     
    return True
 
# Driver function
n = 128
 
if (allDigitsDivide(n)) :
    print("Yes")
else :
    print("No" )
     

Output:

Yes

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