Parikshit says 15344 is divisible by both 7 and 8. Justify your answer with divisibility rules of 7 and 8.
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Answer:
Divisibility Rules for 7
The rule for divisibility by 7 is a bit complicated which can be understood by the steps given below:
Example: Is 1073 divisible by 7?
From the rule stated remove 3 from the number and double it, which becomes 6.
Remaining number becomes 107, so 107-6 = 101.
Repeating the process one more time, we have 1 x 2 = 2.
Remaining number 10 – 2 = 8.
As 8 is not divisible by 7, hence the number 1073 is not divisible by 7.
Divisibility Rule of 8
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.
Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.
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