SEAGReady
NumberP6 level23 questions in the full course

Find Factors and MultiplesSEAG Practice Questions

Finding all factors of a number and listing multiples, understanding factor pairs and the relationship between factors and multiples.

Where your child meets this in real life: Finding common factors for simplifying fractions, understanding divisibility, solving grouping problems

What your child needs to know

SEAGReady breaks find factors and multiples into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Find Factors

    Find all factors of numbers up to 20 using factor pairs and division

  2. 2

    Find Multiples

    List the first several multiples of a given number using multiplication

  3. 3

    Distinguish and Apply

    Identify whether a relationship is factor or multiple, and solve problems requiring the correct choice

Try these SEAG-style questions

Three free sample questions from our find factors and multiples course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Rebecca has 10 stickers to arrange in equal rows with none left over. Find all the factors of 10.

Answer choices for question 1
Question 2Confidence builder

Thomas is practising his 4 times table. List the first 5 multiples of 4.

Answer choices for question 2
Question 3Standard

Which of these shows a multiple of 8?

Answer choices for question 3

Try the lesson: Find Factors

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Erin has 12 sweets to share equally among her friends with none left over.

Find all the factors of 12.

Factors of 12

Start with 1 and the number
1

1 always divides evenly, so 1 is a factor

Step 1 of 6

Prefer to read? See every step written out

Erin has 12 sweets to share equally among her friends with none left over.

Find all the factors of 12.

  1. 1

    Start with 1 and the number

    • 1 always divides evenly, so 1 is a factor
    • 12 divided by 1 gives 12, so 12 is also a factor12 ÷ 1 = 12
  2. 2

    Find more factor pairs

    • Try 2: does 12 divide evenly?12 ÷ 2 = 6
    • Try 3: does 12 divide evenly?12 ÷ 3 = 4
  3. 3

    List all factors

    • Factor pairs: (1,12), (2,6), (3,4)
    • All factors of 12: 1, 2, 3, 4, 6, 12

The factors of 12 are 1, 2, 3, 4, 6 and 12.

The key insight: Factors come in pairs - if 2 is a factor, there's another number that pairs with it!

Common mix-up: Forgetting 1 and 12. 1 and the number itself are always factors because 12 ÷ 1 = 12 exactly.

Mistakes to watch for

These are the misconceptions we see most often in find factors and multiples, including the ones our practice questions are specifically designed to catch.

  • Confusing factors with multiples
  • Missing factor pairs (forgetting that 1 and the number itself are always factors)
  • Thinking factors must be smaller than the number (true) but multiples must be larger (first multiple equals the number)

Build these skills first

Struggling with find factors and multiples? The real gap is often in one of these earlier topics.

Division Facts (Inverse of Times Tables)

More number practice

Read & Write Whole NumbersIdentify Place Value of a DigitCompare Two Whole NumbersOrder a Set of Whole NumbersAddition Facts to 20Subtraction Facts Within 20
23 questions on this topic alone

Master find factors and multiples and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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