Multiples are my jam
So much in common HCF
Yum LCM's!
Primary factorisation station
Index Notation goals
100

Name 10 multiples of 2

2, 4, 6, 8, 10, 12, 14, 16, 18, 20

100

What is the highest common factor of 

20 and 32

4

100

what is the lowest common multiple of

6 and 15

3

100

Show the primary factorisation of 36

2 x 2 x 3 x 3 = 36

100

Simplify the below using index notation

2 x 2 x 2 x 3 x 3

2x 3

200

If my number is 25, name the multiples lowest to highest

5, 10, 15, 20, 25

200

Find the HCF of 38 and 12

The HCF of 38 and 12 is 2
200

What is the LCM of

18 and 30

6

200

Simplify the below using exponent notation and solve

2 x 3 x 3 x 7

2 x 7 x 3=126

200

Simplify the below using index notation

3 x 5 x 7

Trick question :) 

300

My highest multiple is 50
My lowest multiple is 10
Name all the multiples from 10 - 50

10, 20, 30, 40, 50

300

Sarah has 18 red apples and 24 green apples. She wants to distribute them equally into gift baskets. What is the largest number of apples she can put in each basket without any apples left over?

The HCF of 18 and 24 is 6. Therefore, Sarah can put 6 apples in each basket.

300

Name 2 numbers where the LCM is 6


1, 2, 3, 6

300

show the primary factorisation of

80

2 x 2 x 2 x 2 x 5 = 80

300

Simplify, then solve the below using index notation

5 x 5 x 5 x 3

53 x 3 = 360

400

I take the stairs climbing 2 steps at a time

I reach the top after 10 steps

what is the number of stairs?

20

400

A farmer has 36 eggs and 48 tomatoes. He wants to distribute them equally in cartons. What is the highest number of eggs and tomatoes he can put in each carton without any leftovers?

(Hint its the HCF)

12 Tomatoes and 12 Eggs per carton

400

What kind of mathematical equation have we been learning about this week requires us to find the LCM?

Prime factorisation


400

Show 2 different pathways to find the primary factorisation for 

120 

2 x 2 x 2 x 3 x 5 = 120

3 x 2 x 5 x 2 x 2 = 120

400

Which equation has a greater answer?

5x 32  and 34 x 5 

52 x 32 = 225

34 x 5 = 405

500

If my number is 30

Name 2 different sets of multiples that can reach 30

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

5, 10, 15, 20, 25, 30

6, 12, 18, 24, 30

10, 20, 30

500

Tom is packaging lollies into boxes. He has 15 blue lollies and 25 yellow candies. What is the largest number of lollies he can pack into boxes so that each box has the same number of candies?

The HCF of 15 and 25 is 5. Therefore, Tom can pack 5 candies into boxes so that each box has the same number of candies.

500

My LCM of my two numbers is 4

My first number is half of the second number

What are my numbers?


2 and 4

500

Show the primary factorisation of

16

2 x 2 x 2 x 2 = 2= 16

500

Show the standard form of

43 x 72

4 x 4 x 4 x 7 x 7

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