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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16
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The factors of 4 are 1, 2, and 4. The only prime factor of 4 is 2. The factors of 20 are 1, 2, 4, 5, 10, and 20. The prime factors of 20 are 2x2x5.
It is 29 because it's a prime number