CLASS-4
TEST OF DIVISIBILITY
TESTS OF DIVISIBILITY -
Divisibility means dividing a number leaving no remainder.
Ø A number is said to be divisible by the numbers that divide it without leaving a remainder.
Ø Divisibility tests help us to check whether a number is divisible by a given number or not.
DIVISIBILITY BY 2 :-
EXPLANATION :-
Ø Make a table as shown in example and underline the digit in the one’s place .
Ø If the underlined digit is 0, 2, 4, 6 or 8 , the given number is divisible by 2.
Example.1) Write whether the following numbers are divisible by 2 or not. Give reasons:
a. 7194 b. 84,029 c. 74,150
Ans.) CHECK THE ONE’S DIGIT -> 0, 2, 4, 6, .bjn, 8
DIVISIBILITY BY 5 :-
EXPLANATION :
Ø Make a table as shown in example and underline the digit in the one’s place .
Ø If the underlined digit is 0 or 5, the given number is divisible by 5.
Example.1) Write whether the following numbers are divisible by 5 or not. Give reasons:
a. 7,185 b. 24,028 c. 84,370
Ans:) ( CHECK THE ONE’S DIGIT -> 0 or 5)
DIVISIBILITY BY 10 :-
EXPLANATION :
Ø Make a table as shown in example and underline the digit in the one’s place .
Ø If the underlined digit is 0 , the given number is divisible by 10.
Example.3) Write whether the following numbers are divisible by 10 or not. Give reasons.
a. 940 b. 78,648
Ans.) (CHECK THE ONE’S DIGIT -> zero )
DIVISIBILITY BY 4 :-
EXPLANATION :
Ø Make a table as shown in example and underline the digits in the ones and tens places (i.e. the last two digits) .
Ø If the underlined last two digits can be divided by 4 leaving no remainder, the given number is divisible by 4.
Ø OR, if the underlined last two digits are both zeroes (00), the given number is divisible by 4.
Example.4) Write whether the following numbers are divisible by 4 or not. Give reasons.
a. 872 b. 6524 c. 70318 d. 5300
DIVISIBILITY BY 3 :-
EXPLANATION :
Ø Make a table as shown in example and find the sum of the digits .
Ø If the sum of the digits is divisible by 3, the given number is divisible by 3.
SOLVED EXAMPLES :-
Example.5) Write whether the following numbers are divisible by 3 or not. Give reasons:
a) 2,310 b) 84,028 c) 810
