Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
The number of prime factors in the expression $6^{10} \cdot 7^{17} \cdot 11^{27}$ is equal to
(a)54
(b)64
(c)71
(d)81
Answer
Answer (as printed): B
Explanation
$6^{10} \times 7^{17} \times 11^{27}=(2 \times 3)^{10} \times 7^{17} \times 11^{27}=2^{10} \times 3^{10} \times 7^{17} \times 11^{27}$. Number of prime factors in the given expression $=(10+$ $10+17+27)=64$.
Explanation as extracted from the printed page; notation may be imperfect.