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Factors, multiples and primes Quiz

Grade 1 • 1M • 10 Questions (34 Marks)

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Score: 0 / 10
Factors, multiples and primes — Notes & Worked Examples Show / Hide

Explanation:

A factor of a number divides into it exactly with no remainder. Always find factors in factor pairs starting from 1 × n so you never miss one. A multiple is a number in its times table (e.g. multiples of 6 are 6, 12, 18, 24, …).

A prime number has exactly two factors: 1 and itself. Remember that 1 is NOT prime (it only has one factor) and 2 is the only even prime number. The first ten primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.

Example 1: List all the factors of 24, and write down which of these factors are prime numbers.

Solution:

Find factor pairs systematically from 1 upwards:
• 1 × 24 = 24   • 2 × 12 = 24
• 3 × 8 = 24    • 4 × 6 = 24
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Prime factors: 2 and 3 (1 is not prime)

Example 2: From the list 9, 15, 17, 24, 27, 32, write down: (a) a prime number (b) a multiple of 8 (c) a factor of 45

Solution:

(a) 17 only divides by 1 and 17 → 17
(b) 8 times table: 8, 16, 24, 32 → 24 (or 32)
(c) 45 = 9 × 5 and 45 = 15 × 3 → 9 (or 15)
Answers: (a) 17  (b) 24 or 32  (c) 9 or 15
Question 1
[1 mark]
Write down the even number from this list
111, 103, 89, 26
Worked Solution & Answer
Even integers are multiples of 2 (form 2n); odd integers leave a remainder of 1 when divided by 2 (form 2n + 1).
26
Answer: 26
Question 2
[1 mark]
List the first three multiples of 14
Worked Solution & Answer
1\times14=14, 2\times14=28, 3\times14=42 B1
Answer: 14, 28, 42
Question 3 OCR Nov 2023 3F Q3
[3 marks]
(a) What type of numbers are 2, 3 and 5?
Circle **one** answer from the list.
cube numbers   even numbers   odd numbers   prime numbers   square numbers
(b) (i) Arrange the five tiles to make a calculation with the answer 3.
(ii) Write down a multiple of 8 that can be made using two of the five tiles.
(a) What type of numbers are 2, 3 and 5?
Circle **one** answer from the list.
cube numbers   even numbers   odd numbers   prime numbers   square numbers [1 mark]
(b) Arrange the five tiles to make a calculation with the answer 3. [1 mark]
2335–
= 3
(c) Write down a multiple of 8 that can be made using two of the five tiles. [1 mark]
Worked Solution & Answer
(a)
2, 3 and 5 are the first three prime numbers. B1
Answer (a): prime numbers
(b)
35 − 32 = 3. B1
Answer (b): 35 - 32 = 3
(c)
4 × 8 = 32, which uses the tiles 3 and 2. B1
Answer (c): 32
Question Paper (PDF) • Mark Scheme (PDF)
Question 4 IGCSE Jan 2020 1FR Q1
[3 marks]
Work out
(a) Largest 4-digit number from 3, 2, 6, 8 (1) (b) Multiple of 6 from circle (1) (c) Prime number from circle (1)
(a) Write down the largest possible four digit number using all the digits that are in the box. [1 mark]
3268
(b) a multiple of 6 [1 mark]
1724127209158
(c) a prime number [1 mark]
Worked Solution & Answer
(a)
Descending digits: 8632 B1
Answer (a): 8632
(b)
24 = 6 × 4 B1
Answer (b): 24
(c)
17 is prime B1
Answer (c): 17
Question Paper (PDF) • Mark Scheme (PDF)
Question 5 IGCSE Specimen 2F Q1
[4 marks]
From the numbers in the box, write down
6917202863
(a) the multiple of 5 [1 mark]
(b) the factor of 30 [1 mark]
(c) the square number [1 mark]
(d) the prime number [1 mark]
Worked Solution & Answer
(a)
20 = 4 × 5 B1
Answer (a): 20
(b)
30 ÷ 6 = 5 B1
Answer (b): 6
(c)
9 = 3² B1
Answer (c): 9
(d)
17 has only two factors, 1 and 17 B1
Answer (d): 17
Question Paper (PDF) • Mark Scheme (PDF)
Question 6 AQA Jun 2025 1F Q2
[4 marks]
Here is a card from a game.
13328271536
(a) Write down the number from the card that is a multiple of 5 [1 mark]
Answer
(b) Write down the number from the card that is a factor of 40 [1 mark]
Answer
(c) Write down the number from the card that is a prime number. [1 mark]
Answer
(d) Write down the number from the card that is a square number. [1 mark]
Answer
Worked Solution & Answer
(a)
15 ends in 5, so multiple of 5 B1
Answer (a): Answer 15
(b)
40 ÷ 8 = 5, so 8 is a factor of 40 B1
Answer (b): Answer 8
(c)
13 has only 1 and 13 as factors, so prime B1
Answer (c): Answer 13
(d)
6² = 36, so 36 is a square number B1
Answer (d): Answer 36
Question Paper (PDF) • Mark Scheme (PDF)
Question 7 IGCSE Jan 2023 2F Q1
[4 marks]
Here are four cards.
Each card has a number on it.
5763
(a) Arrange the four cards to make the smallest possible number. [1 mark]
(b) Arrange the four cards to make the largest possible even number. [1 mark]
(c) Arrange two of the cards to make a prime number. [1 mark]
(d) Arrange two of the cards to make a multiple of 8 [1 mark]
Worked Solution & Answer
(a)
Ascending order: 3567 B1
Answer (a): 3567
(b)
Must end in 6: 7536 B1
Answer (b): 7536
(c)
37, 53, 67, 73 are prime B1
Answer (c): 37 (or 53, 67, 73)
(d)
7 × 8 = 56 B1
Answer (d): 56
Question Paper (PDF) • Mark Scheme (PDF)
Question 8 IGCSE Jun 2024 1FR Q1
[4 marks]
From the numbers in the box, write down
6151928384448
(a) an odd number [1 mark]
(b) a multiple of 12 [1 mark]
(c) a prime number [1 mark]
(d) a factor of 24 [1 mark]
Worked Solution & Answer
(a)
15 or 19 are odd B1
Answer (a): 15 or 19
(b)
48 = 4 × 12 B1
Answer (b): 48
(c)
19 is prime B1
Answer (c): 19
(d)
24 ÷ 6 = 4 B1
Answer (d): 6
Question Paper (PDF) • Mark Scheme (PDF)
Question 9 IGCSE Jun 2021 1F Q1
[5 marks]
From the numbers in the box, write down
8917354880
(a) a factor of 40 [1 mark]
(b) a multiple of 7 [1 mark]
(c) a prime number [1 mark]
(d) a square number [1 mark]
(e) the two numbers with a difference of 31 [1 mark]
Worked Solution & Answer
(a)
40 ÷ 8 = 5 B1
Answer (a): 8
(b)
5 × 7 = 35 B1
Answer (b): 35
(c)
17 is prime B1
Answer (c): 17
(d)
3² = 9 B1
Answer (d): 9
(e)
48 − 17 = 31 B1
Answer (e): 17 and 48
Question Paper (PDF) • Mark Scheme (PDF)
Question 10 IGCSE Jan 2021 2F Q1
[5 marks]
Here is a list of numbers in a box.
681736447691
(a) a multiple of 11 [1 mark]
(b) a factor of 30 [1 mark]
(c) a square number [1 mark]
(d) a prime number [1 mark]
(e) two numbers whose sum is 84 [1 mark]
Worked Solution & Answer
(a)
44 = 4 × 11 B1
Answer (a): 44
(b)
30 ÷ 6 = 5 B1
Answer (b): 6
(c)
36 = 6² B1
Answer (c): 36
(d)
17 is prime (91 = 7 × 13) B1
Answer (d): 17
(e)
8 + 76 = 84 B1
Answer (e): 8 and 76
Question Paper (PDF) • Mark Scheme (PDF)
Score: 0 / 10 (0 / 34 marks)
Factors, multiples and primes Worksheets Next: Coordinates →

Grade 1 Quizzes

16 Topics
1A - Addition1B - Subtraction
1C - Multiplication1D - Division
1E - Time1F - Ordering FDP
1G - Place Value1H - Rounding
1J - Negative numbers1K - Powers and roots
1L - BIDMAS1M - Factors, multiples and primes
1N - Coordinates1P - Pictograms
1Q - 2D shapes1R - 3D shapes