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What is the number of prime factors contained in the product 307 × 225 × 3411 ?
Answer & Solution
Correct Answer:
Option
D
307 × 225 × 3411
= (2 × 3 × 5)7 × (2 × 11)5 × (2 × 7)11
= 2(7 + 5 + 11) × 37 × 57 × 115 × 1711
= (223 × 37 × 57 × 115 × 1711)
Number of prime factors
= (23 + 7 + 7 + 5 + 11)
= 53
= (2 × 3 × 5)7 × (2 × 11)5 × (2 × 7)11
= 2(7 + 5 + 11) × 37 × 57 × 115 × 1711
= (223 × 37 × 57 × 115 × 1711)
Number of prime factors
= (23 + 7 + 7 + 5 + 11)
= 53
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