**Recognise and use factor pairs and commutativity in mental calculations**

Year 4 Multiplication and Division Factors – Investigation

**Investigation – Factor Facts**

Prove – the higher the number, the greater the number of factors it has.

Is this true all of the time, some of the time or never?

True or false:

Every square number has an odd number of factors.

Prove your answer.

Answers:

Problem 1: False – there are a number of answers for this, depending on which multiplication table the number appears in. One easy way to prove this is to look at a 3-digit prime number compared to a number such as 32. Therefore this is only sometimes true.

Problem 2: As far as I know this is true – please let me know if you know of a square number where this is not the case!