GCSE Secondary Maths Age 13-17 - Algebra: Even, Odd and Prime Numbers - Explained

The video tutorial addresses two mathematical claims. First, Adams claims that multiplying an even number by an odd number always results in an odd number. This is disproven with the example of 4 multiplied by 3, which equals 12, an even number. Second, Betty claims that multiplying two prime numbers always results in an odd number. This is disproven by multiplying 2, the only even prime, by 3, resulting in 6, an even number. The tutorial emphasizes understanding prime numbers and provides examples to clarify these misconceptions.

Provide an example to demonstrate that multiplying an even number by an odd number does not always yield an odd number.

Explain why the statement 'When you multiply two prime numbers together, the answer is always an odd number' is incorrect.

What are prime numbers and what is a common misconception about them?

Using the example of multiplying 2 and 3, what is the result and how does it relate to the properties of prime numbers?

Summarize the key points made about the multiplication of even and odd numbers in the context of this discussion.