Question: Is 0 considered divisible by any integer? For example, is 0 divisible by 3?
- Yes
- No
- Not all the times
Correct Answer: A
Solution and Explanation:
Approach Solution 1:
The problem statement asks to find out if zero is divisible by any integer and if zero, for example, is divisible by three.
We need to understand a few things that are:
Zero can be divided by any number except itself.
“Divisible By” means "the result of dividing one number by another is a whole number."
“Divisible by” and “can be exactly divided by” mean the same thing.
Yes, zero can be divided by any integer. However, no integer is divisible by zero.
Zero divided by three equals zero, which is an integer.
As a result, zero is divisible by three.
Therefore, the answer is yes since zero is divisible by three.
Approach Solution 2:
The problem statement asks to find out if zero is divisible by any integer and if zero, for example, is divisible by three.
We can solve the question by considering the fraction \(\frac{0}{3}\)
The fraction \(\frac{0}{3}\) indicates that the number 3 is a factor (divisor) of the number zero.
The number 0 is divisible by three because it can be divided by three without leaving a remainder.
It is required to remember the point that zero is divisible by everything.
Another way to think about divisibility is that x is evenly divisible by y if there is no remainder when x is divided by y.
When we divide zero by any number, we get zero with no remainder.
As a result, according to the definition of divisibility, zero is divisible by everything.
The GMAT enjoys testing our knowledge of these "special cases," which frequently include zero, on all questions, but especially Data Sufficiency.
It is required to remember the fact that one integer is neither positive nor negative when considering divisibility.
Therefore, the answer to this question is yes, as 0 is indeed divisible by 3.
“Is 0 considered divisible by any integer? For example, is 0 divisible by 3?”- is a topic of the GMAT Quantitative reasoning section of the GMAT exam. This topic has been taken from the book “GMAT Official Guide 2021”. The GMAT Problem Solving questions require good skills in mathematics in order to decipher quantitative problems. GMAT Quant practice papers help the candidates to go through lots of questions that will improve their quantitative understanding.
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