What is the least four-digit positive integer, with all different digits, that is divisible by each of its digits?

helpppp Mar 27, 2020

#4**+1 **

Sorry I am not CPhill, but I will help :D

Start with 0, and go up to 9999.

0 divided by anything can't be a number, so 0 is not the answer.

Every whole number is divisible by 1.

2 should be in the hundreds place to make a small number.

MAKE SURE THE NUMBER IS EVEN.

You can put a 3 in the tens place, but you cannot use any other odd numbers.

We can't use 4, since 4 is not divisible by 3, or 5.

6 is the next number that works

Hence, 1236 is the smallest number divisible by its digits.

Hope this helped!

CalTheGreat Mar 27, 2020