Choose numbers with a particular product

Key notes:

Key Idea

Product means the answer we get when we multiply two or more numbers.

Example:

• 3×4=12→ here 12 is the product.

What Does “Choose Numbers with a Particular Product” Mean?

• We are given a product (the result of multiplication).
• We have to find or choose the numbers (factors) that multiply to give that product.

Important Points

Factors are the numbers we multiply to get the product.

• Example: Factors of 12 → 1×12, 2×6, 3×4.

A product can have more than one pair of factors.

We use multiplication facts (times tables) to choose the correct numbers.

Sometimes we also need to use division to check factors

Examples

Example 1:
Choose two numbers whose product is 20.

• 1×20=20
• 2×10=20
• 4×5=20

Answer: Possible pairs → (1, 20), (2, 10), (4, 5).

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Example 2:
Choose numbers that multiply to make 36.

• 1×36=36
• 2×18=36
• 3×12=36
• 4×9=36
• 6×6=36

Answer: (1, 36), (2, 18), (3, 12), (4, 9), (6, 6).

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Example 3 (Word Problem):
A farmer arranges 24 apples equally in rows. How many apples can he put in each row?

• Factors of 24 → 1×24, 2×12, 3×8, 4×6.
• So, he can arrange apples in rows of 1, 2, 3, 4, 6, 8, 12, or 24.

Steps to Choose Numbers with a Particular Product

• Write the given product.
• Think of multiplication facts (times tables).
• List all pairs of factors.
• Choose the correct numbers from the list.

Practice Questions

1. Find two numbers whose product is 28.
2. Choose numbers that multiply to give 45.
3. List all factor pairs of 60.
4. A box holds 32 chocolates. How many rows can be made?
5. Find two numbers whose product is 100.

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✅ Tip for Students:

• Always check with multiplication tables.
• If stuck, use division → Example: 36÷4=9, so (4, 9) is a pair.

Learn with an example

Let’s practice!