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.