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How To Do Divisibility In Odd Or Even Numbers
How to do divisibility in odd or even numbers?
Answer:
We have several rules of divisibility for numbers like 2, 3, 4, 5, 6, 8, 9, 11 and so on
If the numbers are even, they will be divisible by 2 by definition and hence last digit as 0, 2, 4, 6 or 8.
Even numbers or those ending in 0 may be divisible by 5 or 10 eg: 40
Even numbers ending in 6 may be divisible by 3 or 6 eg: 36
If the numbers end in a 1, 3, 5, 7, or 9, they are odd numbers.
They may be divisible by 3, 9,11 etc...
Divisibility rules are as follows
Divisibilty rules
1
Any integer (not a fraction) is divisible by 1
2
The last digit is even (0,2,4,6,8)
Example
128 is divisible by 2
129 is not divisible by 2
3
The sum of the digits is divisible by 3
381 (3+8+1=12, and 12÷3 = 4) is divisible by 3
217 (2+1+7=10, and 10÷3 = 3 1/3) Not divisible by 3
4
The last 2 digits are divisible by 4
1312 is (12÷4=3) is divisible by 4
7019 is not (19÷4=4 3/4) is not divisible by 4
5
The last digit is 0 or 5
175 is divisible by 5
809 not divisible by 5
6
Is even and is divisible by 3 (it passes both the 2 rule and 3 rule above)
114 (it is even, and 1+1+4=6 and 6÷3 = 2) is divisible by 6π
308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) Not divisible by 6
Divisibility Rule for 8
The last three digits of the given number should be divisible by 8
Examples:
109816 (816÷8=102) So 109816 is divisible by 8
216302 (302÷8=37 3/4) So 216301 is not divisible by 8
9
The sum of the digits is divisible by 9
1629 (1+6+2+9=18, and again, 1+8=9) divisible by 9
2013 (2+0+1+3=6) Not divisible by 9
10
The number ends in 0
220 is divisible by 10
221 is not divisible by 10
11
Divisibility Rule for 11
Add and subtract digits of the given number in an alternating pattern (add a digit, subtract next digit, add next digit, and so on). Then we check if that answer is divisible by 11.
1364 (+1−3+6−4 = 0) So 1364 is divisible by 11
913 (+9−1+3 = 11) So 913 is divisible by 11
3729 (+3−7+2−9 = −11) So 3729 is divisible by 11
987 (+9−8+7 = 8) So 987 is not divisible by 11
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