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How do you draw all possible distinct area models to represent factors of 120?
Wiki User
∙ 10y ago
The task, as described, is extremely difficult since there may be area models for more than two factors at a time.
However, taking only rectangular areas and so only 2 factors at a time:
Find the smallest factor of 120 = B1. Let L1 = 120/B1.
Draw a rectangle with length = L1 units and breadth = B1 units.
Find the next larger factor of 120, B2. Let L2 = 120/B2. If L2 ≤ B2 then stop. Otherwise draw a rectangle with length = L2 units and breadth = B2 units.
Do the next smallest factor, and so on.
Wiki User
∙ 10y ago
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If you can compile a complete list of all different rectangular models with sides of integer length for a number then their lengths and breadths represent its factors.
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