Find the total number of prime factors in the expression (4)¹¹ ×(7)⁵ ×(11)². · ABC26GN0037
Subject: General Aptitude · Chapter: Number System
Find the total number of prime factors in the expression $(4)^{11} \times(7)^{5} \times(11)^{2}$.
Answer
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Explanation
(4)11 × (7)5 × (11)2 = (2 × 2)11 × (7)5 × (11)2 = 211 × 211 × 75 × 112 = 222 × 75 × 112. \ Total number of prime factors = (22 + 5 + 2) = 29. 12 QUANTITATIVE APTITUDE
Explanation as extracted from the printed page; notation may be imperfect.
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