Q71
The number of prime factors in the expressions 64 × 86 × 108 × 1210 is:
A.
80
B.
64
C.
72
AnswerD.
48
Answer: Option C
Solution
Answer: Option C
Solution:
64 × 86 × 108 × 1210= (2 × 3)4 × (23 )6 × (2 × 5)8 × (22 × 3 )10
= 24 × 34 × 218 × 28 × 58 × 220 × 310
= 250 × 314 × 58
Thus, the total prime factors,
= 50 + 14 + 8 [By adding maximum power of prime factors.]
= 72