Q467
What is the number of prime factors contained in the product 307 × 225 × 3411 ?
A.
49
B.
51
C.
52
D.
53
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
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