NZ Level 3
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Multiple Scavenger Hunt (Investigation)


  • To practise identifying multiples.
  • To practise identifying factors.
  • To understand the concept of squaring a number.


  • Deck of cards (2-10 in each suit)
  • Scavenger Hunt List, 1 per player (see below)
  • Pen

The Game

Work with at least one other student.

  1. Remove the Jack, Queen, King and Aces from the deck of cards so you are only left with number cards 2-10 in each suit.
  2. Take turns picking two cards from the deck.
  3. After you pick your two cards, multiply the two numbers together.
  4. Write the number you have created in the “Numbers Found” column of your Scavenger Hunt List for all the categories in which it fits.
  5. Return the cards you used to the deck after every turn.
  6. Stop playing when one person has found at least one number that fits into every category of the Scavenger Hunt List.  
  7. The group should collectively look at the winner’s list to make sure all of the numbers are in the correct categories.

Scavenger Hunt List

Number Criteria:

  1. Is a multiple of $4$4.

  2. Is a factor of $48$48.

  3. Has a factor of $9$9

  4. Is a multiple of $5$5.

  5. Is a multiple of $6$6.

  6. Is a factor of $8$8.

  7. Is  factor of both $60$60 and $120$120.

  8. Is a multiple of $3$3.

  9. Can be written as the square of a number (e.g. $64=8^2$64=82

Numbers Found:



Follow-Up Questions

1. What is your technique for determining multiples of a number?  What is your technique for testing if a number is a factor of another number?  How do these techniques relate to each other?

2. Which of the given items on the list were you able to find the most numbers for? Why do you think that might be?

3. Some numbers were in multiple categories. What sorts of things do those numbers have in common?

4. What everyday situations can you think of where knowledge about factors and multiples is useful?



Know basic multiplication and division facts.

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