Page 62 - Math Skill - 4

60 Maths

Divisibility By 4
A number is divisible by 4, if the number formed by the last two digits is divisible by 4.
For example, let’s check divisibility of 24536 by 4. Here the last two digits ‘36’ is divisible by 4.
Hence, 24536 is divisible by 4.

Divisibility By 5

A number is divisible by 5 if its last digit is either 0 or 5.
For example, 10, 20, 25, 525, 1025 are divisible by 5.

Divisibility By 6

A number is divisible by 6 if it is divisible by both 2 and 3.
For example, 1452 is divisible by 2 because it’s one digit is 2. 1452 also divisible by 3 because
it’s sum is 12, which is divisible by 3.
Hence, 1452 is divisible by 6.

Divisibility By 8
A number is divisible by 8 if the numbr formed by its last three digits (from ones to hundreds
place) is divisible by 8.
For example, 9968
Here, the number formed by the last three digits of 9968 is 968.
So, 968 ÷ 8 = 121; Hence, 9968 is divisible by 8.

Divisibility By 9

A number is divisible by 9 if the sum of its digits is divisible by 9.
For example, 66051
The sum of digits = 6 + 6 + 0 + 5 + 1 = 18

18 is divisible by 9. Thus, 66051 is divisible by 9.
Divisibility By 10

A number is divisible by 10 if its last digit is 0. For example, 6240, 5210, 1210, 120, are divisible
by 10.

Let’s Attempt

Example: Check the divisibility of the following numbers by 2, 3 and 5.

(a) 6801 (b) 3745
Solution: (a) 6801 (b) 3745

Digit at the ones place is 1. Digit at the ones place is 5.

Thus, it is not divisible by 2 and 5. Thus, it is divisible by 5 but not 2.

Now, 6 + 8 + 0 + 1 = 15 which is Now, 3 + 7 + 4 + 5 = 19 which is not
divisible by 3. divisible by 3.

Thus, 6801 is divisible by 3. Thus, 3745 is not divisible by 3.