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What is the smallest 5 digit number divisible by 11 and containing each of the digits 2 3 4 5 6?
Wiki User
∙ 11y ago
24365.
To see how it works:
The division rule for 11 is that sum of the digits in odd positions, and the sum of the digits in even positions should be the same or differ by a multiple of 11.
Here there is a set of 5 numbers that together add to 20. It is therefore not possible to have two subsets whose difference will be a multiple of 11. So the two subsets must add to 10 (half the total). Thus you have a pair whose sum is 10 an a triplet whose sum is 10.
The only possible pair adding to 10 is {4,6} which leave {2,3,5} as the triplet.
The last stage is to alternate number from the triplet and pair, taking the smallest unused one at each step.
Wiki User
∙ 11y ago
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Is 120 the smallest number that is divisible by 1 2 3 6 9 12 and 36?
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336
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How about: 336
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35 is the smallest number with ANY quantity of digits that qualifies.
What the smallest 3-digits number that is exactly divisible by 4 as well as 6?
2
What is the smallest two digit number that is divisible by both the sum and the product of its digits?
12
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1023
A number is divisible by 4 if the tens and one digits.?
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Is 120 the smallest number that is divisible by 1 2 3 6 9 12 and 36?
No.First off, 120 is not divisible by 9. (The sum of the digits of 120 is "3"; a number is divisible by nine if and only if the sum of its digits is divisible by nine.) For that matter, it's not divisible by 36 either; since 36 is itself divisible by 9, any number which is not divisible by 9 cannot be divisible by 36.The smallest number that's divisible by 1, 2, 3, 6, 9, 12 and 36 is "36" (it's also divisible by 4, which you left out).
What is the smallest number containing the digits 0 1 2 3?
0123 if you can have zero at the front if not then 1023
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A number is divisible by 3 if the sum of its digits is divisible by 3.
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If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
Is 1 trillion 17 a prime number?
Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.Since the sum of the digits is divisible by 3, the original number is also divisible by 3.
