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Level 3-4 Algebra - Multiples
30 is the 5th multiple of the number 6.

Level 3-4 Algebra - Multiples

In the awesome world of KS3 Maths, factors and multiples take the stage. But what's the difference? It's like a maths dance – factors are the numbers that can divide into another number, and multiples are what you get by multiplying a number.

Picture this: if a number has friends in a times table, those friends are its factors. On the flip side, every number in a times table is a buddy of that number – they're multiples. Like, 8 hangs out with 1, 2, 4, and 8 in the times tables club. So, 1, 2, 4, and 8 are factors, and 8 is their multiple. Got it?

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In algebra, you might need to find 'common multiples' – numbers that are buddies with two or more numbers. It sounds tricky, but loads of practice makes you a multiples maestro. Try this quiz and become a multiple magician. Good luck!

1.
Which of these numbers is not a multiple of 3 and 4?
12
36
48
50
3 and 4 cannot be divided into 50 to give answers of whole numbers
2.
Is the number 43 a multiple of the number 11?
Yes
No
Seldom
Often
44 is a multiple of 11 but 43 most definitely is not!
3.
The 4th and 5th multiples of a number are 24 and 30. What is the number?
3
6
9
10
If you know your times tables then multiples aren't very difficult
4.
Is 66 a multiple of 3 and 11?
Yes
No
Seldom
Often
Both 3 and 11 will divide into 66 and give results of a whole number
5.
The first 3 multiples of a number are 8, 16, 24. What is the number?
8
16
24
32
8, 16 and 24 are all in the 8 times table
6.
What are the first 4 multiples of 7?
0, 7, 14, 21
1, 7, 14, 21
7, 14, 21, 28
14, 21, 28, 35
1 x 7 = 7; 2 x 7 = 14; 3 x 7 = 21; 4 x 7 = 28
7.
What are the first 3 multiples of 15?
3, 5, 7.5
5, 10, 15
15, 30, 45
30, 60, 90
1 x 15 = 15; 2 x 15 = 30; 3 x 15 = 45
8.
The 2nd and 3rd multiples of a number are 22 and 33. What is the number?
5
7
9
11
Simply divide 22 by 2 and 33 by 3. Easy eh?
9.
Which of the following are common factors of 6, 12, 18 and 24?
2 and 3
3 and 4
4 and 5
5 and 6
Both 2 and 3 will divide into all the numbers given (6, 12, 18 and 24)
10.
Which of the following is a common factor of 15, 30, 45 and 60?
2
3
4
10
5 and 3 can be divided into all the numbers given and the result is always a whole number. Remember that multiples are always whole numbers
You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

Author:  Frank Evans
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