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.

What is the result when you multiply an even number by an odd number?

• Always an odd number

• Always a prime number

• Always an even number

• Sometimes odd, sometimes even

Which of the following is a correct example that disproves Adam's claim?

• 2 * 3 = 5

• 4 * 3 = 12

• 5 * 5 = 25

• 6 * 7 = 41

What is a prime number?

• A number that is always odd

• A number with only one factor

• A number with two factors: one and itself

• A number with three factors

Why is Betty's claim about multiplying two prime numbers incorrect?

• Because multiplying primes always gives a prime number

• Because 2 is an even prime number

• Because all prime numbers are odd

• Because prime numbers can be divided by any number

What is the only even prime number?

• 7

• 2

• 5

• 3