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
SEAGReady breaks find factors and multiples into 3 steps, taught in order so each skill builds on the last.
Find all factors of numbers up to 20 using factor pairs and division
List the first several multiples of a given number using multiplication
Identify whether a relationship is factor or multiple, and solve problems requiring the correct choice
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.
Ciara has 10 stickers to arrange in equal rows with none left over. Find all the factors of 10.
Answer: A. 1, 2, 5, 10
To find all factors of 10, check which numbers divide evenly. 1 and 10 are always factors (10 divided by 1 = 10). Try 2: 10 divided by 2 = 5, so 2 and 5 are factors. Try 3: 10 divided by 3 = 3 remainder 1, so 3 is NOT a factor. Try 4: 10 divided by 4 = 2 remainder 2, so 4 is NOT a factor. Factor pairs: (1,10), (2,5) All factors of 10: 1, 2, 5, 10
Stuck? Start here: Factors are numbers that divide evenly into 10 with no remainder.
Declan is practising his 4 times table. List the first 5 multiples of 4.
Answer: A. 4, 8, 12, 16, 20
Multiples of 4 are the numbers in the 4 times table. 4 times 1 = 4 4 times 2 = 8 4 times 3 = 12 4 times 4 = 16 4 times 5 = 20 The first 5 multiples of 4 are: 4, 8, 12, 16, 20
Stuck? Start here: Multiples are in the times table. What is 4 times 1, 4 times 2, 4 times 3...?
Is 18 a factor of 6, or a multiple of 6?
Answer: A. Multiple of 6
Is 18 a factor of 6? Factors divide INTO a number. 6 divided by 18 = not a whole number (18 is too big). So 18 is NOT a factor of 6. Is 18 a multiple of 6? Multiples are in the times table. 6 times 3 = 18. So 18 IS a multiple of 6. 18 is a multiple of 6.
Stuck? Start here: A factor divides INTO a number. A multiple is in the times table.
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Aoife has 12 sweets to share equally among her friends with none left over.
Find all the factors of 12.
Factors of 12
Step 1 of 6
Aoife has 12 sweets to share equally among her friends with none left over.
Find all the factors of 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!
Watch out: Forgetting 1 and 12. 1 and the number itself are always factors because 12 ÷ 1 = 12 exactly.
These are the misconceptions we see most often in find factors and multiples, including the ones our practice questions are specifically designed to catch.
Struggling with find factors and multiples? The real gap is often in one of these earlier topics.
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.