The total number of positive factors of 2400 × 7³ is equal to:
2019
The total number of positive factors of 2400 × 7³ is equal to:
- A.
30
- B.
60
- C.
124
- D.
144
Attempted by 259 students.
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Correct answer: D
Correct answer: 144
Prime factorization of 2400 is 2⁵ × 3¹ × 5².
So 2400 × 7³ = 2⁵ × 3¹ × 5² × 7³.
Number of positive factors = (5+1)(1+1)(2+1)(3+1) = 6 × 2 × 3 × 4 = 144.