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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