Test of
Divisibility
Divisibility
by 2:- If the one’s place of whole number is even then The whole number divided by 2.
E.g. find 42 is
divided by 2 or not.
Sol:- one’s digit is 2 which is even so 42 is divided By 2.
Divisibility
by 3:- Add all numbers and divided by 3 if obtained sum
Is divided by 3 then the whole number is divided
By 3.
E.G. find 27 is
divisible by 3 or not.
Sol: - Add Numbers. 2+7=9 which is divisible by 3 so whole number
is divided by 3.
Divisibility
by 4:-Write one’s place & ten’s place if these two digits
Divided by 4 then whole number divided by 4.
E.G. 6464 is divide
by 4 or not.
Sol:- write one’s and
ten’s place digit.
64 which is
divisible by 4 so whole number is divided by 4.
Divisibility
by 5:- If one’s place is 5 or 0 then whole number divide
by 5.
E.g. 23567890 is divisible by 5 or not.
One’s digit
is 0, so whole number is divided by 5.
Divisibility
by 6:- Those Number who Divide by 2 and 3 is also
Divided by 6.
E.G. 216 is divisible
by 6 or not.
Sol:- 216 is divisible by 2 and 3 so it is also divided by 6.
Divisibility
by 7:- Multiply the one’s digit by 2.
Subtract this value from rest of number.
Continue this process until you know it is divisible By 7.
E.G. 483 is divisible by 7 or not.
Sol:- According to method:- 3 X 2=6
Subtract
48-6=42 which is divided by 7. So whole number is divided by 7.
Divisibility
by 8:- write one’s, tens and hundred digits of Number. If
These three
digits divided by 8 then the whole
Number divided by 8.
E.G. 456986512 is divisible by 8 or not.
Sol: - According to
method:- divide last three digits by 8
so 512 is
Divided by
8 so whole number is divided by 8.
Divisibility
by 9:- Add all numbers if the sum is divided by 9 then the
Whole number is divided by 9.
E.G. 81 is divisible by 9 or not.
Sol:- Add the
Numbers. 8+1=9 this is divisible by 9
So
whole number is divided by 9.
Divisibility
by 10:- If one’s place is 0 then the Whole number is
Divided by 10.
E.G. 100
Sol:- one’s digit is 0, so whole number is divided by 10.
Divisibility
by 11:- Write the numbers. To find its divisibility test we
Need to find difference between two sums.
E.g. To find 121 is divisible by 11
or not.
Number
|
Sum of Digits in odd places
|
Sum of digits in even places
|
Difference
|
Divisibility or not
|
121
|
1+1
|
2
|
||
2
|
2
|
0
|
yes
|
If difference is 0 or multiple of
11 then whole Number is divided by 11.
Divisibility By 12:- If the number is divided by 3 and
4 then consider
Number is divided by 12.
E.G. 1728 is divided by 12 or not.
Sol: - 1728 is divided by 3 and 4
easily so whole number is divided
By 12.
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