The process of checking whether a number is divisible by a given number or not without actual division is called divisibility rule for that number

Divisibility rules for 2 :

A number is divisible by 2 if it has any of the digits 0,2,4,6 or 8  in it's ones place

Ex :  34 ( Yes), 25( No )

Divisibility rules for 3 :

If the sum of the digits is a multiple of 3, then the number is divisible by 3.

Ex : 32 = 3+2=5 (Not Divisible)

513 =5+1+3 =9 (Divisible)

2538 = 2+5+3+8=18 ( Divisible)

Divisibility rules for 4 :

     If the last two digits are  divisible by 4

Ex : 729  ( Not divisible)

       336  ( Divisible)

      1716 ( Divisible )

Divisibility rules for 5 :

          All the numbers with zero and five at ones place is divisible by 5

Ex :  40, 95, 150,235

Divisibility rules for 6 :

       If  it is divisible both 2 and 3 then it is  by 6 .

Ex : 24. 30, 48

Divisibility rules for 9 :

      If the sum of the digits is a multiple of 9, then the number is divisible by 9.

Ex : 79, 513, 2538

Divisibility rules for 10 :

      All the numbers with zero at ones place is divisible by 10

Ex : 20,50,100,150