Lesson video

- Hi, everyone, I'm Mr. Lund and in this lesson, we're going to be recapping our understanding of multiples and factor pairs.

Hi, everyone.

Let's recap the meaning of a multiple.

A multiple is just a sequence of numbers using the same base number multiplied by different amounts.

It's your times table but the language confuses people sometimes.

Here I have four times by eight.

Four times by eight equals 32.

32 is a multiple of eight.

If we continue our sequence on, we can see five times by eight equals 40.

So 40 is also a multiple of eight.

16 is a multiples of eight.

But 16 also has other factors.

Four times by four equals 16.

So 16 is a multiple of four.

16 is also a multiple of two.

16 is a multiple of one.

And 16 is a multiple of 16.

16 times one finds you 16.

Here are some questions of you to try.

Pause the video and return to check your answers.

Here are the solutions to question one, two and three.

It's not a difficult skill but hopefully, the different representations of multiples will allow you to remember what a multiple is when you need it most in your exam.

I can use 100 grid to show the multiples of six.

There we go.

I can watch as my pattern develops.

66 is a multiple of six.

It is the 11th multiple of six.

66 is also the sixth multiple of 11.

Here are some questions for you to try.

Pause the video and return to check your answers.

Here's the solutions to question four.

If you didn't or you couldn't download a 100 square grid, then you could have listed out the multiples of 13 and 15, and there again you would have seen that there were no common multiples.

Okay? Pupils often get mixed up between multiples and factors.

What is a factor? Our definition says that a factor is a whole number that goes into another whole number leaving no remainder.

Let's just use this multiplication, three multiplied by four to look at the different types of factors in the number 12.

Here we see that four is a factor of 12.

Three is also a factor of 12.

It goes into 12 four times with no remainder.

I can also visualise factors using something called arrays.

Here I have an array of counters, three by four, and I can see that the factors three and four both go into 12.

Three and four are factor pairs of 12.

There are more factors of 12 than the numbers three and four.

We can use factor pairs to work systematically and find all the factors of 12.

I'm gonna use an array of counters to help me.

Here's an array that shows one multiplied by 12.

1 and 12 are factor pairs of 12.

Two multiplied by six finds me a factor pair of two and six.

Three times by four finds me factor pairs of three and four.

Does five go into 12? And we can see it doesn't go in without leaving a remainder.

So five is not a factor.

12 has six factors and those factors are one, two, three, four, six and 12.

Here are some questions for you to try.

Pause the video and return to check your answers.

Here's our solutions to question five and six.

If a number has exactly two factors, it means it is a prime number.

Well done for getting this far.

Here's question seven and eight.

Pause the video and return to check your answers.

Here's the solutions to question seven and eight.

Did you recognise that the list was all the factors of the number 60?.