divisiblity test of 2, 3,4,5,6,7,8,9,11
Answers
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DIVISIBILITY RULE OF 2:
Any even number or number whose last digit is an even number i.e. 2,4,6,8 including 0 is always completely divisible by 2.
DIVISIBILITY RULE OF 3:
Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3 i.e., it is a multiple of 3.
DIVISIBILITY RULE OF 4:
If the last two digits of a number are divisible by 4, then that number is a multiple of 4 and is divisible by 4 completely.
DIVISIBILITY RULE OF 5:
Numbers with last digit 0 or 5 are always divisible by 5.
DIVISIBILITY RULE OF 6:
Numbers which are divisible by both 2 and 3 are divisible by 6. That is, if last digit of the given number is even and the sum of its digits is a multiple of 3, then the given number is also a multiple of 6.
DIVISIBILITY RULE OF 7:
To determine if a number is divisible by 7, take the last digit off the number, double it and subtract the doubled number from the remaining number. If the result is evenly divisible by 7 (e.g. 14, 7, 0, -7, etc.), then the number is divisible by seven. This may need to be repeated several times.
DIVISIBILITY RULE OF 8:
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.
DIVISIBILITY RULE OF 9:
The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.
DIVISIBILITY RULE OF 11:
If the difference of the sum of alternative digits of a number is divisible by 11 then that number is divisible by 11 completely.
In order to check whether a number like 2143 is divisible by 11 following is the procedure.
-Group the alternative digits i.e. digits which are in odd places together and digits in even places together. Here 24 and 13 are two groups.
-Take the sum of the digits of each group i.e. 2+4=6 and 1+3= 4
-Now find the difference of the sums; 6-4=2
-If the difference is divisible by 11, then the original number is also divisible by 11. Here 2 is the difference which is not divisible by 11.
-Therefore, 2143 is not divisible by 11.
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