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Factors & multiples practice questions with answers

Foundation · Grade 1 · Non-calculator

A second set of factors & multiples questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

What is the 5th multiple of 3?

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Answer: 15

  1. Count 3, 6, 9, 12, 15.
  2. The 5th is 15.
  • Method (1): Count 3, 6, 9, 12, 15.
  • Accuracy (1): Answer 15

Question 2 Easy

How many factor pairs does 16 have if the pairs are 1×16, 2×8 and 4×4?

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Answer: 3

  1. Three pairs, and 4 is repeated.
  2. There are 3 pairs.
  • Method (1): Three pairs, and 4 is repeated.
  • Accuracy (1): Answer 3

Question 3 Medium

What is the 8th multiple of 7?

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Answer: 56

  1. 8 × 7 = 56.
  2. The multiple is 56.
  • Method (1): 8 × 7 = 56.
  • Accuracy (1): Answer 56

Question 4 Medium

Which of 12, 18, 20 is a multiple of 9? Give that number.

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Answer: 18

  1. 18 ÷ 9 = 2.
  2. The multiple is 18.
  • Method (1): 18 ÷ 9 = 2.
  • Accuracy (1): Answer 18

Question 5 Hard

A bell rings every 6 minutes and another every 8 minutes. They ring together at noon. After how many minutes do they ring together again?

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Answer: 24

  1. That gap is the lowest common multiple of 6 and 8.
  2. They ring together after 24 minutes.
  • Method (1): That gap is the lowest common multiple of 6 and 8.
  • Accuracy (1): Answer 24

Question 6 Hard

How many factors does 20 have?

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Answer: 6

  1. Pairs 1×20, 2×10, 4×5.
  2. That is 6 factors.
  • Method (1): Pairs 1×20, 2×10, 4×5.
  • Accuracy (1): Answer 6

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

What is the lowest common multiple of 8 and 12?

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Answer: 24

  1. Multiples of 12: 12, 24.
  2. 24 is a multiple of 8, so the answer is 24.
  • Method (1): Lists multiples of the larger number
  • Accuracy (1): Answer 24

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

Is 1 a factor of every whole number?

  1. Yes
  2. No
  3. Only of odd numbers
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Yes 1 × n = n for every whole n.

Check 2

Is 9 a factor of 9?

  1. Yes
  2. No
  3. Only if you exclude itself
Show answer

Yes Every number is a factor of itself.

Check 3

What is the highest common factor of 6 and 9?

  1. 3
  2. 18
  3. 1
Show answer

3 3 divides both, and nothing larger does.

Check 4

What is the lowest common multiple of 3 and 5?

  1. 15
  2. 8
  3. 1
Show answer

15 3 × 5 = 15, and they share no other factor.

Check 5

Which is a multiple of 7?

  1. 28
  2. 27
  3. 15
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28 28 = 4 × 7.

Check 6

Which is a factor of 20?

  1. 4
  2. 8
  3. 6
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4 20 ÷ 4 = 5.

Check 7

What is the 4th multiple of 10?

  1. 40
  2. 14
  3. 4
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40 4 × 10 = 40.

Check 8

Prime numbers have how many factors?

  1. 2
  2. 1
  3. 3
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2 The two factors are 1 and the number.

Check 9

Is 2 a prime?

  1. Yes
  2. No
  3. Only in even lists
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Yes Its only factors are 1 and 2.

Check 10

Is 1 a prime?

  1. No
  2. Yes
  3. Sometimes
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No 1 has only one factor, so it is not prime.

Check 11

What is the highest common factor of 15 and 25?

  1. 5
  2. 75
  3. 3
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5 5 divides both.

Check 12

What is the lowest common multiple of 4 and 10?

  1. 20
  2. 40
  3. 2
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20 20 is the first shared multiple.

Check 13

Does 3 divide 51 exactly?

  1. Yes
  2. No
  3. Only the first digit
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Yes 5 + 1 = 6, which is a multiple of 3, so 51 is too.

Check 14

What is a common multiple of 2 and 5?

  1. 10
  2. 7
  3. 15
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10 10 is in both times tables.

Check 15

Factors of a number are usually

  1. smaller than or equal to it
  2. always bigger than it
  3. always even
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smaller than or equal to it A factor of a positive whole number is never larger than the number itself.

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