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Mental Maths Workbook - Divide by an even number by another even number.

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When both the divisor and the dividend are both even numbers, it means that the numbers are divisible by 2. We can then simplify the problem by dividing both the divisor and the dividend by 2. For example, consider dividing 48 by 6.

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The dividend, 48 is a large number and we can simplify the problem by dividing the dividend and divisor by 2, like this:

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And the problem now becomes much simpler.

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For larger problems, if both the divisor and divident are be divisible by 4 or 8 and we can derive greater benifit by dividing both the divisor and divident by 4 or 8. For example, consider having to divide 264 by 24.

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Since both 264 and 24 are divisible by 8 (we will see how to test if a number is divisible by 8 shortly), we can simplify the division like this:

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So, when both the divisor and the dividend are even numbers, follow the steps given below:

  1. First check both the dividend and divisor are divisible by 8. If both the dividend and divisor are divisible by 8, then simplify the problem by dividing as shown above.
  2. If either one is not divisible by 8, then check if both the numbers are divisible by 4.
  3. If both the numbers are not divisible by 4, then divide both numbers by 2.

To test if a number is divisible by 8

Check if the last three digits of the number are divisible by 8. For example, the number 102032 is divisible by 8 because the last three digits i.e. 032 is divisible by 8.

To test if a number is divisible by 4

Check if the last two digits of the number are divisible by 4. For example, the number 99924 is divisible by 4 because the last two digits i.e. 24 is divisible by 4.

To test if a number is divisible by 2

Check if the last digit of the number must be a multiple of 2 or 0. For example, the number 989140 is divisible by 2 because the last digit is zero. Multiples of 2 are 2,4,6 and 8.

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