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:

Answer: D. 144 — 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 ×…

  1. A.

    30

  2. B.

    60

  3. C.

    124

  4. D.

    144

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Show answer & explanation

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.

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