# Video: AQA GCSE Mathematics Foundation Tier Pack 2 β’ Paper 2 β’ Question 21

Tick true or false for the following statement. Give a reason for your answer. When π is a positive integer, the value of 72π will always be divisible by 8. [A] True [B] False. Reason

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### Video Transcript

Tick true or false for the following statement. Give a reason for your answer. When π is a positive integer, the value of 72π will always be divisible by eight.

The word βintegerβ means whole number. This means that the positive integers are one, two, three, four, and so on. In this question, π must take one of these values. The number 72 is equal to eight multiplied by nine. This means that 72π can be written as eight multiplied by nine π.

We were asked to work out whether 72π will always be divisible by eight. Dividing 72π by eight is the same as dividing eight multiplied by nine π by eight. Eight divided by eight is equal to one, as any number divided by itself equals one. This means that 72π divided by eight is equal to nine π.

As our value for π is an integer, nine π will also be an integer. Multiplying any whole number by nine gives us a whole number answer. We can therefore say that 72π is a multiple of eight and, as a result, must also be divisible by eight. The statement βWhen π is a positive integer, the value of 72π will always be divisible by eightβ is true.