Question

find which of the following numbers are divisible by 11
i) 2563
ii) 8307
iii) 95635​

Answer 1

Answer:

2563 is divisible. 8307 is nondivisible and 95635 is nondivisible

Step-by-step explanation:

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Answer 2

Divisibility Rule

(i) 2563

We need to check the divisibility of given numbers by 11.

There are two methods, first one is the traditional number needed to be  divided each by 11, but in case of smaller numbers its quite easier but for larger number it may be cumbersome.

So, there is a divisibility rule for 11, which can be helpful.

This states that if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

So we will check for 2563.

Numbers which are at odd places is 2 and 6.

Sum of these digits is 8.

Numbers which are at even places is 5 and 3

Sum of these are 8.

Difference in both sum at odd and even places is 0.

Hence, 2563 is divisible by 11.