What is the greatest integer such that divides ?

Answer and explanation

Correct answer: C.

  1. Step 1: Apply Legendre's formula to determine the highest power of prime dividing : .
  2. Step 2: Evaluate the terms for each power of up to : , , and .
  3. Step 3: Sum the integer quotients: .
Answer
.

Practise more Powers and roots.

Free questions with an explanation for every one, and full timed GMAT mock tests.

All Powers and roots questionsTake a mock test

More Powers and roots questions