In how many ways can 14 be written as a product of two or more distinct integers, without considering two integers with the same absolute value but opposite signs?
Explanation:
‘14’ as a product of 2 integers can be written as 1 × 14, 2 × 7, - 1 × -14, -2 × -7 i.e. 4 ways.
‘14’ as a product of 3 integers can be written as 1 × 2 × 7, -1 × -2 × 7, -1 × 2 × -7, 1 × -2 × -7 i.e. 4 ways.
∴ Total number of ways = 4 + 4 = 8.
Hence, 8.
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