Illuminations: Factor Game

# Factor Game

The Factor Game is a fun, interactive game that exercises your factoring ability. You can play against the computer or against a friend.

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### Instructions

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• Player A chooses a number on the game board by clicking on it. The square will be colored blue, as shown for 12. Player A receives 12 points for this choice.
• Player B then clicks on all the proper factors of Player A’s number. The proper factors of a number are all the factors of that number, except the number itself. For example, the proper factors of 12 are 1, 2, 3, 4, and 6. Although 12 is also a factor of 12, it is not considered a proper factor. All of the proper factors that Player B selects will be colored green, as shown to the left. Player B will receive 1 + 2 + 3 + 4 + 6 = 16 points for selecting all of the proper factors.
• Players reverse roles. On the next turn, Player B colors a new number and gets that many points, and Player A colors all the factors of the number that are not already colored and receives the sum of those numbers in points.
• The players take turns choosing numbers and coloring factors.
• If a player chooses a number with no uncolored factors remaining, that player loses a turn and does not get the points for the number selected.
• The game ends when there are no numbers remaining with uncolored factors.
• The player with the greater total when the game ends is the winner.

The Factor Game applet was adapted with permission and guidance from "Prime Time: Factors and Multiples," Connected Mathematics Project, G. Lappan, J. Fey, W. Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications, (1996), pp. 1‑16.

### Lessons

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