Algebra

Quantitative Aptitude (CUET)

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The number of prime factors in 6³³³ × 7²²² × 8¹¹¹

1221

1222

1111

1211

Explanation:

(6)³³³ × (7)²²² × (8)¹¹¹
∴   (2 × 3)³³³ × (7)²²² × (2³)¹¹¹
∴   2³³³ × 3³³³ × 7²²² × 2³³³
∴   2⁶⁶⁶ × 3³³³ × 7²²²
∴ Number of prime factors
= 666 + 333 + 222 = 1221.

By: Amit Kumar

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