Which of these is not a factor of 36?

What do we call numbers that have exactly two factors?

What type of number has an odd number of factors?

Which of these numbers in a common factor of 12 and 18.

Which of these numbers is not a common factor of 20 and 24

Exposing factors

﻿Hello and welcome to another video, in this lesson we'll be looking at Factor polygons, again, my name is Mr. Maseko. I hope that you have a pen, a pencil and something to write on before you start this lesson. Okay, now that you have those things, let's get on with today's lesson. Here's a try this activity, pause the video here and read the information carefully before you give this a go. Okay? Pause in three, two, one. Okay, now that you're giving this a go, let's see what you've come up with? Well, you can create regular polygons, and what are regular polygons? This is a shapes made of only straight edges and all the edges are the same, size. So you can make create regular polygon by connecting dots that are equally spaced in a ring. So with six points, Anton says he can make two different regular polygons, what regular polygons can you make with 12 dots? And what do you notice? Well, you should have noticed that you could have made three sided regular polygon. Now how do I know this is the same size? Because if you look at the number of dots that each side takes up, you'll notice that it's all the same. So that is a regular triangle or an equal lateral triangle. Now that's one of the shapes that you could have come up with. What are the others? Well, if you connected those dots you could have made for different regular polygons, you could have made a square, a hexagon, an equal lateral triangle, and a dodecagon which is a 12 sided regular polygon just by connecting all the dots, so we have four sides, six sides, three sides and 12 sides. What do you notice about the number of sides for the polygons that we can make? Good, they're all all the number of sides, these are all factors of have 12. The regular polygons you can make and these rings are all factors of the number of dots that you have. Now, are these all the factors of 12? No, we know that 12 has factors one and two also, but we know that we can't draw, there's no such thing as a one sided polygon or a two sided polygon, the smallest polygon you can have is a three sided polygons. So for these facts of polygons, you'll never be able to make polygons for the factor one and the factor two, because those polygons don't exist, but all the other remaining factors of 12, four, six, three, and 12 are all represented. So, here's an independent task for you to try, pause the video here and give this a go. Okay, let's see what you could have come up with. These are all the polygons, you should have come up with, yours would be a lot neater than mine because you'd have use a straight edge to connect your dots. So we can make 18 sides, three sides, nine sides and six sides. Now how do we arrive at these predictions? Well, we know the factors of 18, are one, two, three, six, nine, and 18. We know however that we can't draw those two polygons because they don't exist, so these are all the polygons that we could have drawn. Now, let's do the Explore task. Pause the video here and give this a go. Okay, let's see what you have come up with, well draw three regular polygons, you can have in a ring of 15 dots. Well, what are the factors of 15 well the factors are one, three, five and 15. And we know we can't draw a one sided polygon because it doesn't exist. So we can draw what? A three, a five and a 15. Now, how many regular polygons can you draw in a ring of 36 dots? Well, again, what are the factors of 36? Well, the effects of a 36 are one, two, three, four, six, nine, 12, 18 and 36. Which of those polygons can't you draw, because they don't exist? A one sided polygon and a two sided polygon, so these are the all the polygons that we can draw. So there's one, two, three, four, five, six, seven. So a three sided polygon, a four sided polygon, a six sided polygon, a nine sided polygon, a 12 sided, 18 sided and 36 sided. I really hope that this has helped you, practise finding factors, we've gone through a few lessons now. We've been using different methods that help us work out factors of numbers and if you would like to share your work, please ask your parent or carer to share your work on Twitter tagging at @OakNational and #LearnWithOak I will see you again next time.

Which of these is not a factor of 24?

Why can't factors of 1 and 2 be represented as polygons?

How many factor polygons can you draw for a ring of 32 dots?

How many polygons can you draw for a ring of 20 dots?

What is a regular polygon?

Factor Polygons

In this lesson, we will be looking at representing factors of numbers using polygons.

Maths

Y7 Maths

Key Stage 3

Year 7

Factor polygons

Factors and multiples

Number

THEME

UNIT

Factors and primes

Prime factors

Square numbers

Representing integers

Common multiples

Number grids

What is the lowest common multiple of 2, 3, and 5?

Which algebraic expression represents multiples of 8?

Which expression can be used to represent all the following set of numbers?   3, 5, 7, 9, 11...

Lesson overview:Factor polygons

Core Content

Factors and multiples: