GMAT GYM - Introduction to Division

Division Exercises are offered at two levels: Fundamental and Intermediate.

At the Fundamental Level division questions have a numerator up to 144 and a divisor of up to 12.

At the Intermediate Level questions are slightly more challenging, with a numerator up to 400 and a divisor of up to 20.

If you are not familiar with the rules of division, you may find the following will help you.

Rule for 2 – An integer is divisible by 2 if that integer is even. For example, 82 is divisible by 2 because 82 is even. 81 is not.

Rule for 3 – An integer is divisible by 3 if the sum of the digits of that integer is divisible by 3. For example, 273 is divisible by 3 because 2 + 7 + 3 =12, and 12 is divisible by 3.

Rule for 4 – An integer is divisible by 4 if the last two digits of that integer are divisible by 4. For example, 384 is divisible by 4 because 84 is divisible by 4.

Rule for 5 – An integer is divisible by 5 if its units’ digit is a 0 or 5. For example, 165 is divisible by 5 because 165 ends in a 5.

Rule for 6 – An integer is divisible by 6 if the sum of the digits of that integer is divisible by 3 AND that integer is even. For Example, 216 is divisible by 6 because 2 + 1 + 6 = 9 which is divisible by 3, AND because the number is even.

Rule for 8 – An integer is divisible by 8 if half of that integer is divisible by 4. For example, 416 is divisible by 8 because the last two digits of 208 - 08 - are divisible by 8.

Rule for 9 – An integer is divisible by 9 if the sum of its digits is divisible by 9. For example, 261 is divisible by 9 because 2 + 6 + 1 = 9, which is divisible by 9.

Rule for 12 – An integer is divisible by 12 if the sum of the digits of that integer is divisible by 3, AND the last two digits of that integer are divisible by 4. For example, 168 is divisible by 12 because 1 + 6 + 8 = 15, which is divisible by 3, AND 68 is divisible by 4.