The number 456318 is divisible by-3-2-6-11-

The correct options are A 3 B 2 C 6 The sum of the digits of the given number is 4 + 5 + 6 + 3 + 1 + 8 = 27 nbsp;which is divisible by 3. Hence, the given n ...

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Byju's Answer

Standard VIII

Mathematics

Divisibility by 3

The number 45...

Question

The number 456318 is divisible by:

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Solution

The correct options are
A
3

B
2

C
6

The sum of the digits of the given number is 4 + 5 + 6 + 3 + 1 + 8 = 27 which is divisible by 3.
Hence, the given number is divisible by 3.

The last digit of the number is even. Hence, it is divisible by 2.

Since the number is divisible by both 3 and 2, it is divisible by 6.

A number is divisible by 11 , if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or divisible by 11.
Here, sum of digits in even places
= 1 + 6 + 4 = 11
Sum of digits in odd places
= 8 + 3 + 5 = 16
Difference = 16 -11 = 5 which is not divisible by 11.
$∴$ The given number is not divisible by 11.

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Similar questions

$18$ is divisible by both $2$ and $3$ . It is also divisible by $2 \times 3 = 6$ . Similarly, a number is divisible by both $4$ and $6$ . Can we say that the number must also be divisible by $4 \times 6 = 24$ $?$ If not give an example to justify the answer.

The number 456318 is divisible by:

Question 11

18 is divisible by both 2 and 3. It is also divisible by $2 \times 3 = 6.$ Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by $4 \times 6 = 24 ?$ If not, give an example to justify your answer.

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essentially divisible:

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(2) divisible by

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(3) divisible by

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Of these statements:

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