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# help cphill

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

Mar 27, 2020

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I am not postive but maybe 102?

Mar 27, 2020
#4
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Sorry I am not CPhill, but I will help :D

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!

Mar 27, 2020
edited by CalTheGreat  Mar 27, 2020
#9
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It is = 1,236

Mar 27, 2020
#12
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Good work, Cal   !!!

I believe   that you  are correct    !!!!!

That was a tough one......

Mar 27, 2020
edited by CPhill  Mar 27, 2020
#13
+1956
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Yeah! I know this 'cause I got it wrong before lol

Thanks, Chris!

CalTheGreat  Mar 27, 2020