How many positive factors does the number 72 have?

A 6

B 8

C 10

D 12

✓ Correct Answer: Option D

First, find the prime factorization of 72: 72 = 2^3 * 3^2. The number of factors is found by adding 1 to each exponent and multiplying the results: (3+1) * (2+1) = 4 * 3 = 12.

💡 Why is D) the correct answer?

The correct answer to the question "How many positive factors does the number 72 have?" is Option D: 12.

The other options — A) 6, B) 8, C) 10 — are incorrect for this GRE Exam Prep question. As explained above: First, find the prime factorization of 72: 72 = 2^3 * 3^2. The number of factors is found by adding 1 to each exponent and multiplying the results: (3+1) * (2+1) = 4 * 3 = 12.

📚 About This GRE Exam Prep Practice Question

This 2-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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How many positive factors does the number 72 have?

✓ Correct Answer: Option D

📚 About This GRE Exam Prep Practice Question

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