Question: What is the product of all positive factors of 18?

1. 39
2. 324
3. 1521
4. 3042
5. 5832

Correct Answer: E

Solution and Explanation:

Approach Solution 1:

The number 18 has all positive divisors: 18, 9, 6, 3, 2, and 1; 3*2 = 6; 6*6 = 36.

18*9 Equals something, something 2.
36*something something 2 = 2 is the last digit.

A, B, and C are not allowed.

Since 18 (which has a factor of 2), then 6 (which has a factor of 2), then another 2 are present. The number itself must have at least three two-factor elements.

Oh no, there are no more factors of two beyond 3042 /2 = 1521.

The solution is E.

Approach Solution 2:

The number 18 has all positive divisors: 18, 9, 6, 3, 2, and 1; 3*2 = 6; 6*6 = 36.

18*9 equals something 2.
It is possible to simplify the calculations in the highlighted section.
18 x 9 is approximately equal to 18 x 10 = 180
180 x 6 = 1080
1080 x 3 = 3024
3024 x 2 = it will be greater than option D

E is the correct answer.

“What is the product of all positive factors of 18?" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”. To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics.

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