Child-friendly Multiplication vocabulary
Child-friendly definitions and examples for words such as factor, product, multiple, times, groups and array.
Quick answer
Multiplication vocabulary includes words like factor, product, multiple, times, groups, and array. These words help us talk about and understand multiplication problems clearly.Learning outcome
By the end of this page, you will be able to use multiplication vocabulary to describe and solve simple multiplication problems with confidence. Success signs:- You can explain what a factor is in a multiplication sentence
- You can identify the product in a multiplication problem
- You can understand what times means when multiplying
- You can show a multiplication problem using groups or an array
Why this matters
Understanding multiplication vocabulary helps you talk about maths clearly, solve problems more easily, and get better at maths in school. When you know the words, you can explain your thinking and help others understand your ideas. Whether you're sharing your lunch, counting your toys, or playing a game, knowing these words helps you use multiplication in real life.How it works
Multiplication vocabulary helps us describe what happens when we multiply numbers. Let's look at each word one by one: Times means "multiplied by" or "groups of". For example, "3 times 4" means 3 groups of 4 items. Groups are equal sets of items. If you have 3 groups of 4 apples, that's 3 × 4 = 12 apples. Array is a way to show multiplication using rows and columns. For example, 3 rows of 4 apples each makes an array. Factor is one of the numbers being multiplied. In 3 × 4 = 12, both 3 and 4 are factors. Product is the answer to a multiplication problem. In 3 × 4 = 12, the product is 12. Multiple is the result of multiplying a number by another number. For example, multiples of 3 are 3, 6, 9, 12, etc.Examples you can see
Let's use a fun example to see how these words work together. Imagine you're at a party and you have 4 tables. Each table has 3 cupcakes on it.- Groups: You have 4 groups of 3 cupcakes
- Times: 4 times 3 cupcakes
- Array: You can draw this as 4 rows with 3 cupcakes in each row
- Factor: 4 and 3 are both factors
- Product: 4 × 3 = 12 cupcakes
- Multiple: 12 is a multiple of both 3 and 4
| Multiplication Problem | Groups | Array | Factors | Product | Multiple |
|---|---|---|---|---|---|
| 2 × 5 = 10 | 2 groups of 5 | 2 rows of 5 items | 2 and 5 | 10 | 10 is a multiple of 2 and 5 |
| 3 × 6 = 18 | 3 groups of 6 | 3 rows of 6 items | 3 and 6 | 18 | 18 is a multiple of 3 and 6 |
| 5 × 4 = 20 | 5 groups of 4 | 5 rows of 4 items | 5 and 4 | 20 | 20 is a multiple of 5 and 4 |
Try it as a mini adventure
Let's go on a treasure hunt! You're looking for a secret treasure chest. To find it, you must solve clues using multiplication vocabulary. Clue 1: You have 3 groups of 5 gold coins. What multiplication sentence shows this? What is the product? Clue 2: Draw an array showing 4 rows of 6 stars. How many stars are there in total? What are the factors? Clue 3: The treasure is hidden where the multiple of 2 and 3 is 6. Is this correct? Why or why not? Clue 4: You have 6 boxes with 4 pencils in each. What is the product? What are the factors? Clue 5: You see 2 rows of 7 flowers. How many flowers are there? What is the product?Common mistakes
- Mistake: Thinking that "times" means "add" instead of "multiply"
Why it happens: Children often confuse "times" with "plus" because they're used to adding numbers.
Fix: Practice with objects. If you have 3 groups of 4 counters, that's 3 × 4 = 12, not 3 + 4 = 7. - Mistake: Confusing "product" with "factors"
Why it happens: The word "product" sounds like "produce" or "make", so children think it's the numbers that make up the answer.
Fix: Remind them that the product is the answer to the multiplication problem, not the numbers being multiplied. - Mistake: Thinking that factors are always the smaller numbers
Why it happens: Children may think that in 6 × 8 = 48, 6 and 8 are both factors, but 6 is smaller so it must be the factor.
Fix: Explain that both numbers in a multiplication sentence are factors, no matter their size.
Parent and carer guide
Parents and carers can help children learn multiplication vocabulary by:- Using the words in everyday conversation: "Let's count 4 groups of 3 toys" or "What's 5 times 2?"
- Playing games that involve multiplication vocabulary: "How many rows of 3 stickers do you have?"
- Using real objects like counters, blocks, or food to show groups and arrays
- Encouraging children to explain their thinking: "How did you figure out the product?"
- Repeating vocabulary often: "The factors are 3 and 4, and the product is 12"
Practice questions
- What is the product of 4 × 5?
Answer: 20 - How many groups are in the multiplication sentence 6 × 3?
Answer: 6 groups - Draw an array showing 3 rows of 4 circles. What is the multiplication sentence?
Answer: 3 × 4 = 12 - What are the factors in the multiplication sentence 7 × 8 = 56?
Answer: 7 and 8 - Is 24 a multiple of 6? Why or why not?
Answer: Yes, because 6 × 4 = 24
FAQ
What does "times" mean in multiplication?
"Times" means "multiplied by" or "groups of". For example, 3 times 4 means 3 groups of 4 items.
What is the difference between a factor and a product?
A factor is one of the numbers being multiplied. A product is the answer to the multiplication problem. In 5 × 6 = 30, 5 and 6 are factors, and 30 is the product.
How can I help my child learn multiplication vocabulary?
You can use everyday objects like counters or toys to show groups and arrays. Practice with simple multiplication sentences and ask your child to explain what each word means.
What is an array in multiplication?
An array is a way to show multiplication using rows and columns. For example, 3 rows of 4 items each makes an array that represents 3 × 4 = 12.
Why is it important to know multiplication vocabulary?
Knowing multiplication vocabulary helps you understand and explain multiplication problems clearly. It also helps you do better in school and use maths in real life.