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A common test for divisibility by 3 is to add the individual digits of an integer. If the resulting sum is divisible by 3 then so is the original number. Program this test. To do this, first define a function: reduce(number) which returns the sum of the digits of the number argument. The sum returned must be < 20 i.e. if the sum is >= 20, the function must add the digits of the resulting sum. It should repeat this procedure until the sum is < 20. Use this function in a python program that inputs an integer from the user and prints out whether or not the integer is divisible by 3.​

A Common Test For Divisibility By 3 Is To Add The Individual Digits Of An Integer If The Resulting Sum Is Divisible By 3 Then So Is The Original Number Program class=

Answer :

The function to test for divisibilty by 3 will accept an input integers and divide it by three to check if its divisible by 3.

The function to test for divisiblity by 3 is as follows:

integer = input("input the integer to check if it's divisible by 3: ")

def reduce(integer):

    list1 = []

    sum1 = 0

    for i in str(integer):

         list1 += i

    results = list(map(int, list1))

    for x in results:

         sum1 += x

    if sum1 < 20 and sum1%3==0:

         return "The integer is divisible by 3"

    elif sum1 < 20 and sum1%3 != 0:

         return "The integer is not divisible by 3"

    else:

         while sum1 >= 20:

              z = sum(list(map(int, list(str(sum1)))))

              if z%3==0:

                   return "The integer is divisible by 3"

              else:

                   return "The integer is not divisible by 3"    

print(reduce(integer))

Code explanation

  • The integer variable stores the users input.
  • We define a function called "reduce". The reduce function accepts the interger variable as a parameter.
  • The code loop through the integer and check if it is divisible by 3.
  • If the sum of the integer number is greater or equals to 20, we divide the resulting sum by 3 .
  • If the integer is divisible by 3, we return "it is divisble by 3" and if it is not dividible by 3, it will return "it is not divisble by 3".

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