How many distinct positive factors does the number 180 have?

A 12

B 15

C 18

D 20

✓ Correct Answer: Option C

First, find the prime factorization of 180: 180 = 18 * 10 = (2 * 3^2) * (2 * 5) = 2^2 * 3^2 * 5^1. To find the number of factors, add 1 to each exponent and multiply the results: (2+1) * (2+1) * (1+1) = 3 * 3 * 2 = 18.

💡 Why is C) the correct answer?

The correct answer to the question "How many distinct positive factors does the number 180 have?" is Option C: 18.

The other options — A) 12, B) 15, D) 20 — are incorrect for this GRE Exam Prep question. As explained above: First, find the prime factorization of 180: 180 = 18 * 10 = (2 * 3^2) * (2 * 5) = 2^2 * 3^2 * 5^1. To find the number of factors, add 1 to each exponent and multiply the results: (2+1) * (2+1) * (1+1…

📚 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 distinct positive factors does the number 180 have?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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