Question 2: Write each of the following sets in tabular forms:
\((iv) \; \) \( \{x\mid x\text{ is a divisor of } 128\}\)
Solution:
Tabular Form:
\(\{1, 2, 4, 8, 16, 32, 64, 128\}\)
Explanation:
This set includes all positive integers that divide \(128\) exactly (without leaving a remainder).
Since \(128\) is a power of \(2\) i.e \(128=2^7\)
Therefore, \(2^0=1,\)\(2^1=2,\) \(2^2=4,\) \( … ,\) \(2^7=128\) are divisors of \(128\)
We can find divisors of any number using prime factorization.