# Divisibility rule for 6

### Divisibility rule for 6 – Video Explanation

Problem 1 – Divisibility rule for 6

Check whether 89676 is divisible by 6?

a) Yes
b) No

Solution:

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 89676
6 is at one’s place
and 6 is divisible by 2
So, 89676 is also divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers, is divisible by 3.
In, 89676
Sum of its digits = 8 + 9 + 6 + 7 + 6 = 36
and 36 is divisible by 3
So, 89676 is also divisible by 3
Therefore, 89676 is divisible by 2 and 3
Hence, 89676 is also divisible by 6

Problem 2 – Divisibility rule for 6

Check whether 29402 is divisible by 6?

a) Yes
b) No

Solution:

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 29402
2 is at one’s place
and 2 is divisible by 2
So, 29402 is also divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers, is divisible by 3.
In, 29402
Sum of its digits = 2 + 9 + 4 + 0 + 2 = 17
and 17 is not divisible by 3
So, 29402 is not divisible by 3
Therefore, 29402 is divisible by 2 but not divisible by 3
Hence, 29402 is not divisible by 6

Problem 3 – Divisibility rule for 6

Check whether 64312 is divisible by 6?

a) Yes
b) No

Solution:

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 64312
2 is at one’s place
and 2 is divisible by 2
So, 64312 is also divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers , is divisible by 3.
In, 64312
Sum of its digits = 6 + 4 + 3 + 1 + 2 = 16
and 16 is not divisible by 3
So, 64312 is not divisible by 3
Therefore, 64312 is divisible by 2 but not divisible by 3
Hence, 64312 is not divisible by 6

Problem 4 – Divisibility rule for 6

Check whether 47283 is divisible by 6?
a) Yes
b) No

Solution:

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 47283
3 is at one’s place
and 3 is not divisible by 2
So, 47283 is not divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers, is divisible by 3.
In, 47283
Sum of its digits = 4 + 7 + 2 + 8 + 3 = 24
and 24 is divisible by 3
So, 47283 is divisible by 3
Therefore, 47283 is divisible by 3 but not divisible by 2
Hence, 47283 is not divisible by 6

Problem 5 – Divisibility rule for 6

Check whether 64848 is divisible by 6?

a) Yes
b) No

Solution:

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In, 64848
8 is at one’s place
and 8 is divisible by 2
So, 64848 is also divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers, is divisible by 3.
In, 64848
Sum of its digits = 6 + 4 + 8 + 4 + 8 = 30
and 30 is divisible by 3
So, 64848 is also divisible by 3
Therefore, 64848 is divisible by 2 and 3
Hence, 64848 is also divisible by 6