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Question The teacher asked if 14560 is divisible by all of 2, 4, 5, 8 and 10. Guna checked for divisibility of 14560 by only two of these numbers and then declared that it was also divisible by all of them. What could those two numbers be?
Since, 14560 is an even number, and the number formed by last 3 digits (560) is divisible by 8 as 560 ÷ 8 = 70.
Thus, 14560 is divisible by 8.
Also, 14560 ends with 0 so, it is also divisible by 5 and 10 as well.
If a number is divisible by 8 and 10, it must be divisible by 2, 4 and 5 also.
So, Guna could have checked for divisibility by 8 and 10 to determine the number is divisible by all 2, 4, 5, 8 and 10.