let us see whether we can find a pattern that can tell us whether a number is divisible by 2,3,4,5,6,8,9,10, or 11. Do you think such patterns can be easily seen ?
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Answer:
Yes , there is of course,
to be divisible by 2 - a number has to be even.
to be divisible with 3 - a number has to be the number which comes in 3 table with its sum . [ eg : 36 , 3+6= 9 ]and 9 is present in 3 table [ but you have to learn all the 3 table till 3x10] .
for dividing with four -also the number must be even , and also the last digit of it should end up in its table [ eg ; 28 , 8 = 4x2 , for this also you have to learn the 4 table till 4x10]
5 is very easy , the number should end with 0 or 5 .
6 , always even , numbers present in both 2 and 3 tables are in 6 [ eg.24 = 2x12 and 3x8 ]
7 is more likely to be odd numbers present in it .[ but there are also even ones]
8 is more likely to be even .
9 is the same as 3
10 - number should always end with 0.
11 - numbers are consecutive in this case .
patterns of 2 and 3 can be easily seen , and 7 and 8 are the least seen.
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