Question

When each side of a triangle has a length which is a prime factor of 2001. how many different such triangles are there

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Answer 1

7

Explanation:

2001 = 3 × 23 × 29

The side lengths can only be 3, 23, 29.

In a triangle, the length of any side must be between the sum and difference of the lengths of the other two sides.

1. 3, 3, 3

2. 23, 23, 23

3. 29, 29, 29

4. 23, 23, 29

5. 23, 29, 29

6. 3, 23, 23

7. 3, 29, 29

Answer: 7