The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal to ______.

Step-by-step solution

Let the last be d , so total following cases will be there for first three numbers, No. of such numbers d = 1 , 9 × 10 × 10 = 900 d = 2 4 × 5 × 5 = 100 d = 3 3 × 4 × 4 = 48 d = 4 2 × 3 × 3 = 18 d = 5 1 × 2 × 2 = 4 Similarly for d = 6 ,   7 ,   8 ,   9 4 × 4 = 16 1086