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dhrititrehan
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dhrititrehan
3*3*2*2*5*5*5
This has 3 fives so can’t be a perfect square
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Ok got it. So technically, if we look at 2^2 *3^2 * 5^3,
Simplify it to reflect perfect square->
(2^2 * 3^2 * 5^2) * 5
If we are to find various combinations of the term in the brackets which includes 3 perfect squares
N! = 3! =6
Adding 2 more factors “1” and the term itself (2^2 * 3^2 * 5^2)
6+2=8
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Integers having odd numbers of factors MUST be perfect squares. So 4500 = 2^2*3^2*5^3 . In this case, only perfect squares we will consider for evaluating odd factor (2,3,5), Now the question has asked for numbers of factors Therefore, by using the property a^p*b^q*c^r = (p+1)(q+1)(r+1) >>>>>> (1+1)(1+1)(1+1) = 8

Pleas throw your views on this soln.
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Check out a new question from GMAT Club Tests:

a-fruit-vendor-has-a-total-of-80-apples-oranges-and-bananas-in-444596.html

Saks116
How many factors of 4500 have odd number of factors?

A) 4
B) 6
C) 8
D) 12
E) 16
This question is discussed here: how-many-factors-of-4500-have-odd-number-of-factors-314697.html

Hope it helps.
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Can you explain the last equation and what property is that- I have understood the answer but this looks really efficient
To find the number of factors you add 1 to each power and multiply them
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HI
I want to take GMAT prep from the scratch and my target is to score 735+. How should I start? I don’t have enough money to buy any subscription for the GMAT prep courses.
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zakirrubel
HI
I want to take GMAT prep from the scratch and my target is to score 735+. How should I start? I don’t have enough money to buy any subscription for the GMAT prep courses.
First step is to familiarize with the gmat exam, you could get a sense of it reading the forum, second take a first mock to stablish a base line, and next step is following a plan, there are plenty of plans also in the forum. Each official and non official questions is in gmat club.
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zakirrubel
HI
I want to take GMAT prep from the scratch and my target is to score 735+. How should I start? I don’t have enough money to buy any subscription for the GMAT prep courses.

I suggest you spend a day familiarizing yourself with the GMAT’s general structure and content, especially Data Sufficiency questions, which are unique to the GMAT. Then take an official practice test from mba.com to get your baseline score. Doing so will help you gauge the amount of work required to reach your target score.

In fact, this article will give you an idea about how many hours you’ll need to prepare: How Many Hours Should I Study for the GMAT Focus?

Once you have a baseline score, adopt a prep strategy consisting of topical learning and practice. In other words, focus on just ONE topic at a time and practice that topic until you achieve mastery.

For instance, let's consider your study of Number Properties. First, immerse yourself in all aspects (formulas, properties, techniques and strategies) of this topic, and then, focus solely on Number Property questions. After each problem set, take the time to delve into your incorrect answers. This self-reflection is a powerful tool that allows you to understand your learning process and make significant improvements. For instance, if you made a mistake in a remainder question, ask yourself why. Was it a careless error? Did you not apply the remainder formula correctly? Was there a concept in the question that you didn't grasp?

By meticulously analyzing your mistakes, you will efficiently address your weaknesses and, consequently, enhance your GMAT quant skills. This process has been unequivocally proven to be effective. Number Properties is just one example; be sure to follow this process for all Quant, Verbal, and DI topics.

This article outlines the different phases of your prep: The Phases of Preparing for the GMAT

Once you have mastered all of the content, you can begin taking official practice tests. With each test, carefully review your results to identify remaining gaps in your content knowledge and work on strengthening those areas until you fully understand them. Then (and only then) take another practice test. Repeat this process until you reach (or exceed!) your goal score.

Here’s an article on how to structure your prep: GMAT Preparation Strategy
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