Product divisible

Number Theory Level 3

There exists 5 2-digit positive integers that each have the property where they are divisible by the product of their digits.

Find the sum of all such these 5 integers.


The answer is 98.

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Prince Loomba
Jan 19, 2017 
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public static void main(String[] args) {


        for(int x=10;x<=99;x++){


           int a=x%10;


           int b=(int)(x/10)%10;


           int c=a*b;


           if (a!=0 && b!=0){if(x%c==0)System.out.println(x);} 


        }


    }

Output:

11 12 15 24 36

Sum

98

1 Helpful 0 Interesting 0 Brilliant 0 Confused

I've added the "```" in your programming solution.

Pi Han Goh - 4 years, 4 months ago

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Thanks very much!

Prince Loomba - 4 years, 4 months ago

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