Question

Write the rules for test of divisibility for 3,4,5,6 and 8

Answer 1

$\textbf{Answer}$

$\textbf{Divisibility by 3 -}$
If the sum of all digits of a number is divisible by 3, then that number is divisibly by 3.

$\textbf{Divisibility by 4 -}$
If the last two digits of a number is divisible by 4, then that number is divisibly by 4.

$\textbf{Divisibility by 5 -}$
If the last digit of a number is either 0 or 5, then that number is divisible by 5.

$\textbf{Divisibility by 6 -}$
We know that 6 = 3 × 2.
If the number is divisible by both 3 and 2,
which means the last digit of a number is even and the sum of all digits of a number is divisible by 3, then that number is divisible by 6.

$\textbf{Divisibility by 8-) -}$
If the number formed by last three digit of a number is divisible by 8, then that number is divisible by 8.


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Answer 2

Divisibility by 3 - 
If the sum of all digits of a number is divisible by 3, then that number is divisibly by 3.

\textbf{Divisibility by 4 -}Divisibility by 4 - 
If the last two digits of a number is divisible by 4, then that number is divisibly by 4.

\textbf{Divisibility by 5 -}Divisibility by 5 - 
If the last digit of a number is either 0 or 5, then that number is divisible by 5.

\textbf{Divisibility by 6 -}Divisibility by 6 - 
We know that 6 = 3 × 2.
If the number is divisible by both 3 and 2,
which means the last digit of a number is even and the sum of all digits of a number is divisible by 3, then that number is divisible by 6.

\textbf{Divisibility by 8-) -}Divisibility by 8-) - 
If the number formed by last three digit of a number is divisible by 8, then that number is divisible by 8.