Multiple choice

What is the smallest number by which 2880 must be divided in order to make it into a perfect square?

  1. 3

  2. 4

  3. 5

  4. 6

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C Correct answer
Explanation

2880 = 2⁶ × 3² × 5¹. For a perfect square, all exponents must be even. 5 has exponent 1 (odd), so we must divide by 5 to get 2⁶ × 3² = 576 = 24². Dividing by 3 would give 960 = 2⁶ × 3¹ × 5¹, still not a perfect square due to odd exponents.

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