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Odd Even Multiplication Patterns

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Odd Even Multiplication Patterns

Explore how the odd or even nature of factors affects the product. Work out each question and use the patterns you notice to explain your thinking.

Odd or even?

Remember: even numbers can be grouped into pairs with none left over. Odd numbers have one left over.

1.Is 13 odd or even?

Odd
Even

2.Is 20 odd or even?

Odd
Even

3.Predict whether 5 × 7 has an odd or even product. Do not calculate first.

Odd
Even

4.Predict whether 8 × 3 has an odd or even product. Do not calculate first.

Odd
Even

Calculate and look for patterns

Work out each multiplication, then decide whether its product is odd or even.

5.Calculate 5 × 9. Is the product odd or even?

6.Calculate 7 × 3. Is the product odd or even?

7.Calculate 4 × 8. Is the product odd or even?

8.Calculate 6 × 10. Is the product odd or even?

9.Calculate 9 × 2. Is the product odd or even?

10.Calculate 5 × 6. Is the product odd or even?

11.Draw an array for 4 × 3. Your drawing should show 4 rows of 3 dots. How many dots are there altogether?

12.Draw an array for 3 × 5. Your drawing should show 3 rows of 5 dots. How many dots are there altogether?

Match the multiplication pattern

Match each pair of factor types to the correct type of product.

13.Match each factor pattern with its product type.

Odd × odd
Even × even
Odd × even
Even × odd

Even product
Even product
Even product
Odd product

Explain and extend

Use what you found to describe the patterns in multiplication.

14.Complete the rule: odd × odd always makes an product.

15.Complete the rule: even × even always makes an product.

16.Complete the rule: odd × even always makes an product.

17.Explain why multiplying an even number by any whole number gives an even product. You may use an example to support your explanation.

18.Work out 3 × 7 × 2. Is the answer odd or even?

19.Work out 4 × 5 × 3. Is the answer odd or even?

20.A box contains 24 counters. Kai says that if two whole numbers are multiplied to make 24, at least one factor must be even. Is Kai correct? Give a factor pair to support your answer.