How many positive factors does the integer 180 have?

A 12

B 16

C 18

D 24

✓ Correct Answer: Option C

First, find the prime factorization of 180: 180 = 2^2 * 3^2 * 5^1. The number of positive factors is found by adding 1 to each exponent and multiplying 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 positive factors does the integer 180 have?" is Option C: 18.

The other options — A) 12, B) 16, D) 24 — are incorrect for this GMAT Exam Prep question. As explained above: First, find the prime factorization of 180: 180 = 2^2 * 3^2 * 5^1. The number of positive factors is found by adding 1 to each exponent and multiplying the results: (2+1)(2+1)(1+1) = 3 * 3 * 2 = 18.

📚 About This GMAT Exam Prep Practice Question

This 2-level GMAT 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 GMAT Exam Prep practice test or use flashcards for spaced repetition review.

Practice GMAT Exam Prep Quizzes → Browse All Questions Study Flashcards

How many positive factors does the integer 180 have?

✓ Correct Answer: Option C

📚 About This GMAT Exam Prep Practice Question

Related GMAT Exam Prep Questions