Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is the largest remainder that can be obtained when an even number is divided by 6?

A. 6
B. 5
C. 4
D. 2

Sagot :

GinnyAnswer
To determine the largest remainder that can be obtained when an even number is divided by 6, let's analyze the problem step-by-step.

First, recall that an even number is any number that is divisible by 2. Therefore, even numbers can be expressed in the form `2k`, where `k` is an integer.

When an even number `2k` is divided by 6, we are interested in finding the remainder. The possible remainders when any number is divided by 6 are 0, 1, 2, 3, 4, and 5.

Since we are specifically looking at even numbers, the remainder must be an even number as well. Therefore, the possible remainders for an even number could only be 0, 2, or 4, because these are the even numbers within the range of possible remainders.

Now, among these possible even remainders (0, 2, and 4), the largest one is 4. Thus, the largest remainder that can be obtained when an even number is divided by 6 is:

D. 2

Therefore, the correct answer is:
D. 2
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.