Here we study methods that can be used to determine whether a number is evenly divisible by other numbers.

These are shortcuts for testing a number's factors without resorting to division calculations.

The rules given below transform a given number's divisibility by a divisor to a smaller number's divisibility by the same divisor.

If the result is not obvious after applying it once, the rule should be applied again to the smaller number.

We present the rules with examples, in a simple way, to follow, understand and apply.

We provide the rules for all the single digit divisors and prime divisors upto 47 and above and a general method which is simple to use.

Divisibility Rule for 2 : Divisibility Quiz

A number is divisible by 2, if its last digit (units' digit) is divisible by 2. i. e. if its last digit (units' digit) is any of the digits 0, 2, 4, 6 and 8 ( i. e. Even digits ). i. e. All EVEN NUMBERS are divisible by 2.

Examples:

112 has last digit as 2 (even) and so is divisible by 2. 121 is not divisible by 2, since last digit is 1 (odd).

1234 is divisible by 2, since the last digit is 4 (even). 3003 is not divisible by 2, since last digit is 3 (odd).

95030 is divisible by 2, since the last digit is 0 (even). 68735 is not divisible by 2, since last digit is 5 (odd).

345617 is not divisible by 2, since last digit is 7 (odd). 231276 is divisible by 2, since the last digit is 6 (even).

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