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Presentation on divisibility test

1) A number is divisible by 2 if the digit in the ones place is even (0, 2, 4, 6, or 8). 2) A number is divisible by 3 if the sum of its digits is divisible by 3. 3) A number is divisible by 5 if the digit in the ones place is 0 or 5.

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RULES OF DIVISIBILITY FROM 2 TO 11
DIVISIBILITY BY 2 A Number is divisible by2 if the digit at ones place s divisible by 2,ie if the digiit at ones place is 0,2,4,6,8. Example - • 18÷ 2 = 9 • 22 ÷ 2 = 11 (Notice that both of these numbers are even.)
DIVISIBILITY BY 3 A Number is divisible by 3 if the sum of its digit is divisible by 3. Example- • 27 =2+7=9 9 is divisible by 3 • 12=1+2=3 3 is divisible by 3
DIVISIBILITY BY 4 A Number is divisible by 4 if the number formed by its digit at tens and ones place s divisible by 4. Example- • 456791824 and 723810 (The number made by the last two digits can be divided by 4)
DIVISIBILITY BY 5 A Number is divisible by 5 if the digit at ones place 0 or 5. Example- • 34780 /5 =6956 • 8955/5 = 1791 (Both the ones place digit is 0 and 5)
DIVISIBILITY BY 6 A Number is if its last digit is an even number or zero and the sum of the digits is a multiple of 3. Example- 270 is divisible by 2 because the last digit is 0. The sum of the digits is: 2 + 7 + 0 = 9 which is also divisible by 3. Therefore, 270 is divisible by 6.
DIVISIBILITY BY 7 A number is divisible by 7 if it has a remainder of zero when divided by 7 Example - • 672 double the last digit of the number2 is 4. 67 – 4 = 63 [Now we need to subtract it from therest of theremaining number] • Since 63 is divisible by 7
DIVISIBILITY BY 8 A Number is divisble by if the number formed by the digits at hundreds,tens and ones place is divisible by 8 Example- • 3364280 (Separating the hundreds ,tens and ones place) i.e 280/8 = 35
DIVISIBILITY BY 9 A Number is divisible by 9 if the sum of its digit is divisible by 9. Example- • 8826921 (8+8+2+6+9+2+1 = 36) 36/9 = 4
DIVISIBILITY BY 10 A Number s divisible by 10 if the digit at ones place is 0. Example- • 10240 / 10 = 1024 • 12000 / 10 = 1200
DIVISIBILITY BY 11 A Number is divisible by 11 if the difference between the sum of the digit at even places and sum of the digit at odd places is either 0 or multiple of 11 Example- • 13856722 sum of odd places = 2+7+3=17 sum of even places= 2+6+8+1=17 difference = 0
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