Listing factors | Maths | Quizalize & Oak National Academy

Starter quiz

Fill in the missing word: A numerical ______ is an integer which exactly divides another integer.

'factor' ✓
Evaluate $\sqrt{81} + 3^3$

'36' ✓
Given the calculation $6\times 8 = 48$ , select the correct statement:

48 is a factor of 6 and 8

48 is a square number

6 and 8 are multiples of 48

6 and 8 are factors of 48 ✓
Identify if the statement is sometimes true, always true or never true. "A factor of a number is always less than the number."

Sometimes true ✓

Always true

Never true
Select all the factors of 9

1 ✓

3 ✓

6

9 ✓

18
Sam writes down a number that is greater than 1 and is a factor of 10 and of 15. Sam's number is ______

'5' ✓

Fill in a word to complete this sentence: Listing factor pairs is more efficient if you use a ______ approach.

'systematic' ✓
Which of the following is not a factor pair of 60?

4 × 15

6 × 10

5 × 13 ✓

3 × 20
Which factor is missing from the Venn diagram? ______

'8' ✓
Which of the following is not a common factor of 24 and 32?

2

3 ✓

4

6 ✓
Which of the following is not true of the Venn diagram?

18 and 30 have 4 common factors

There are 7 factors which are not common to 18 and 30 ✓

The factors that are just factors of 18 are multiples of 9

There are 2 even common factors of 18 & 30
Which of the following is ${30}\over{42}$ in its lowest form?

${15}\over{21}$

${5}\over{7}$ ✓

${2.5}\over{3.5}$

${10}\over{14}$

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Divisibility tests can help identify factors of a number.
Using factors pairs it is possible to systematically find all the factors of an integer.
It is possible to identify common factors by finding all the factors of 2 or more numbers and comparing them.
It is possible to identify common factors of large numbers by listing all the factors but this is time consuming.
To simplify fractions it may be helpful to identify the highest common factor.

Students often use an adhoc approach to listing multiples this often leads to pairs being missed out

Encourage a systematic approach starting with 1 and the integer.

Numerical factor - A numerical factor is a factor that is an integer.
Product - A product is the result of two or more numbers multiplied together.
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.