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The number of factors of a number is calculated as the product of the powers of the number written in power format increased by 1.

As there are required to be 5 factors, and as 5 is a prime, it can only be achieved if the number has a prime factorisation which is a single prime raised to the 4th power.

The smallest prime is 2, and 2⁴ = 16

The next prime is 3, and 3⁴ = 81 which is too big.

→ the required number is 16 (which has the 5 factors 1, 2, 4, 8, 16).

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7y ago

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