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N is the smallest number that has 5 factors. How many factors does (N-1) have?

Question

N is the smallest number that has 5 factors. How many factors does (N-1) have?

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Solution

The smallest number that has exactly 5 factors is 16. The factors are 1, 2, 4, 8, and 16.

The number 16 - 1 = 15.

The factors of 15 are 1, 3, 5, and 15.

So, (N-1) has 4 factors.

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