Factors and Multiples Class 4 Worksheet with Quiz and Games

Class 4 Maths

Factors and Multiples Class 4 Maths Worksheet with Quiz and Activities

Find factors and multiples, tell prime from composite numbers, grow factor trees, climb the ladder method and find common factors and multiples. On WitKnowLearn you get the Factors and Multiples Class 4 online quiz, online activities and interactive games, maths labs and a practice sheet, all on one page.

Flip the cards and try the Shadow Lab, then tap the Games, Labs or Challenges square.

Station 2 · Test yourself

Factors and Multiples Class 4 Online Quiz

20 questions · tap an answer to move on · full review at the end

20:00Answered 0 / 20
Station 3 · Learn by doing

Flip the cards, grow trees in the Factor Tree Lab, then play the games, do the labs and take the challenges. Earn up to 3 stars in every activity.

Fact cards: tap a card to flip it

Factor Tree Lab

Grow factor trees for 24, 36 and 60. On each branch, drop the smallest prime factor on the left and the other factor on the right. Keep going until every branch ends in a prime. A wrong number shows a hint.

    factordivides exactly
    multiplein the times table
    primeexactly 2 factors

    Factors and Multiples Class 4 Activities

    Grow factor trees, climb the ladder method, sort primes and pop multiples. Earn up to 3 stars in every activity.

    What are factors and multiples?

    A factor is a number that divides another number exactly. A multiple is what we get when we multiply a number by 1, 2, 3 and so on. Since 3 × 4 = 12, the numbers 3 and 4 are factors of 12, and 12 is a multiple of 3 and of 4.

    Think of a train 🚂 with 12 seats in each carriage: the seat numbers at the end of each carriage, 12, 24, 36, are multiples of 12!

    Words to know

    WordMeaningExample
    🔢 Factordivides exactly1, 2, 3, 4, 6, 12 for 12
    🦘 Multiplein the times table5, 10, 15, 20 for 5
    🔍 Primeexactly 2 factors2, 3, 5, 7, 11
    🧱 Compositemore than 2 factors4, 6, 8, 9, 10

    Two ways to find prime factors

    • 🌳 Factor tree: split the number into two factors, and keep splitting until every branch is a prime.
    • 🪜 Ladder method: divide by the smallest prime that fits, write the answer below, and repeat until you reach 1.
    • Both ways give the same answer: 36 = 2 × 2 × 3 × 3.
    Easy trick: to find all the factors of a number, write factor pairs starting from 1. For 18: 1 × 18, 2 × 9, 3 × 6. When the pairs start repeating, you have them all.

    More examples

    Factor tree of 60 → 2 × 2 × 3 × 5
    Multiples of 7 → 7, 14, 21, 28, 35
    Common multiple of 4 and 6 → 12

    This Factors and Multiples worksheet for Class 4 turns factor trees and the ladder method into a train ride with online activities and interactive games. Flip the cards, grow trees in the Factor Tree Lab, climb the ladder in the labs and challenges, and play the games.

    🔢 Factorsdivide exactly
    🦘 Multiplesskip count
    🌳 Factor treesplit to primes
    🪜 Ladderdivide to 1
    Maths Factors and Multiples Class 4

    Factors and multiples are two ideas that come from multiplication. A factor is a number that divides another number exactly, and a multiple is what we get when we multiply a number by 1, 2, 3 and so on. In Class 4, children find factors and factor pairs, list multiples, tell prime numbers from composite numbers, break numbers into prime factors using a factor tree and the ladder (division) method, and find common factors and common multiples. This guide explains each idea in simple language for Class 4 students, parents and teachers. It goes with the Factors and Multiples worksheet for Class 4 on WitKnowLearn, which also gives an online quiz, online activities and interactive games on the same page.

    Introduction to Class 4 Maths: Factors and Multiples

    Subject: Maths, Class 4. Topic: Factors and multiples. This page is built around the learning goals schools test for the topic in any board; it is not a copy of a single textbook chapter.

    What is there in this topic

    • Factors and factor pairs
    • Multiples and skip counting
    • Prime and composite numbers; 1 is neither
    • Prime factors using a factor tree
    • Prime factors using the ladder (division) method
    • Common factors and common multiples

    Learning objectives

    These objectives are written for this page from the topic's goals; they are not copied from any one book.

    • Find all the factors of a number using factor pairs.
    • List the multiples of a number.
    • Tell prime numbers from composite numbers.
    • Write a number as a product of primes with a factor tree or the ladder method.

    Learning outcomes

    After this page a child can:

    • List the factors of 18: 1, 2, 3, 6, 9, 18.
    • Write the first five multiples of 4: 4, 8, 12, 16, 20.
    • Draw a factor tree to show 24 = 2 × 2 × 2 × 3.
    • Use the ladder method to show 36 = 2 × 2 × 3 × 3.

    Factors and Multiples Class 4 resources on this page

    ResourceWhat it does
    Factors and Multiples Class 4 online quiz20 questions in three levels with a full answer review
    Flip cardsSix cards on factors, multiples, prime numbers, factor trees, the ladder method and arrays
    Factor Tree LabGrow factor trees for 24, 36 and 60 by dropping numbers onto each branch
    5 interactive gamesPrime or composite, multiples of 4 bubbles, factor pair memory, factor gaps, quick check
    5 maths labsFactor pairs, factor tree for 40, multiples, ladder method for 36, factor or multiple
    5 challengesIncluding a ladder climb for 48, marked out of 3 each with a total out of 15
    Practice sheet16 questions with answer boxes and a live score

    Factors and multiples

    IdeaMeaningExample
    FactorDivides a number exactlyFactors of 12: 1, 2, 3, 4, 6, 12
    MultipleThe number × 1, 2, 3…Multiples of 5: 5, 10, 15, 20…
    Prime numberExactly 2 factors2, 3, 5, 7, 11, 13
    Composite numberMore than 2 factors4, 6, 8, 9, 10, 12
    Remember: factors of a number are never bigger than the number; multiples are never smaller. 1 is neither prime nor composite.

    Factor tree method

    StepExample: 24
    1. Split into two factors24 = 2 × 12
    2. Split any composite branch12 = 2 × 6
    3. Keep going6 = 2 × 3
    4. Stop when every branch is prime24 = 2 × 2 × 2 × 3

    Ladder (division) method

    Divide byNumber
    236
    218
    39
    33
    1 → so 36 = 2 × 2 × 3 × 3

    Types of questions

    • List the factors or multiples
    • Prime or composite
    • Factor tree
    • Ladder method
    • Common factors and multiples

    Solved examples

    1. Factors of 20 = 1, 2, 4, 5, 10, 20
    2. First five multiples of 6 = 6, 12, 18, 24, 30
    3. Is 21 prime? No, 21 = 3 × 7, so it is composite.
    4. Factor tree of 40 → 2 × 2 × 2 × 5
    5. Ladder for 60 → 2 × 2 × 3 × 5
    6. Common factors of 12 and 18 = 1, 2, 3, 6
    7. Smallest common multiple of 4 and 6 = 12
    8. The 10th multiple of 7 = 70

    Common mistakes

    MistakeCorrect
    1 is a prime number1 has only one factor, so it is neither prime nor composite.
    Mixing up factors and multiplesFactors divide the number; multiples come from the times table.
    Stopping a factor tree too earlyKeep going until every branch is a prime.
    Missing a factor pairTest 1, 2, 3… in order and write each pair.

    Daily life

    We use factors when we arrange chairs in equal rows or pack sweets in equal packets, and multiples when we work out when two buses or bells will meet again.

    Tips for parents and teachers

    • Arrange counters in rectangles to find factor pairs.
    • Skip count aloud to practise multiples.
    • Draw factor trees for house numbers or dates.
    • Practise the ladder method with small numbers first.
    • Let the child retry the challenges to earn 3 stars.

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