Securing understanding of factors, multiples, squares and cubes | Maths

Starter quiz

A numerical ______ is an integer which exactly divides another integer.

'factor' ✓
Which of the following is a multiple of 7 ?

20

21 ✓

22

24

25
How many multiples of 5 are there?

1

10

100

infinite ✓
A __________ number is the product of two repeated integers.

cube

product

prime

sum

square ✓
Which of the following is a factor of 36?

8

12 ✓

72

108
Work out the unknown number: "I am less than 100. I am a cube number. I am a factor of 24. I am even." ______

'8' ✓

__________ and __________ are inverse concepts.

Factors and multiples ✓

Squares and cubes

Decimals and fractions
Given the calculation $8\times 5 = 40$ , select the correct statement:

40 is a factor of 8 and 5

40 is a square number

8 and 5 are multiples of 40

8 and 5 are factors of 40 ✓
What number is a factor of every integer except zero? ______

'1' ✓
List all the factors of 5. Use the multiplication grid to help you.

5, 10, 15, 20, 25, 30, 35, 40

1, 5 ✓

1, 2, 4, 8

Not possible as there are infinite number of factors of 5
List all the multiples of 8. Use the multiplication grid to help you.

1, 2, 4, 8

8, 16, 24, 32, 40, 48, 48, 56, 64

Not possible as there are an infinite number of multiples of 8 ✓
Identify if the statement is sometimes true, always true or never true. "A multiple of a number is bigger than its highest factor."

Sometimes ✓

Always

Never

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All factors of all integers will appear in a 12 by 12 times table grid.

It is not possible to identify all factors of 24 using a 12 by 12 times table grid.