Prime factorisation of 156 will be:
Show Hint
- $2^2 \times 3 \times 13$
- $2 \times 3^2 \times 13$
- $2 \times 3 \times 13$
- $2 \times 3 \times 13^2$
The Correct Option is A
Solution and Explanation
Step 1: Start dividing by prime numbers
$156 \div 2 = 78$ (So one factor of 2)
$78 \div 2 = 39$ (Another factor of 2)
Step 2: Continue prime division
$39 \div 3 = 13$ (Factor of 3)
$13$ is already a prime number.
Step 3: Collect prime factors
Thus,
\[
156 = 2 \times 2 \times 3 \times 13 = 2^2 \times 3 \times 13
\]
Step 4: Conclusion
Therefore, the prime factorisation of $156$ is $2^2 \times 3 \times 13$.
The correct answer is option (A).
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