3 divides 6
Understand the Problem
The question is stating a mathematical fact that 3 divides 6, which means that when 6 is divided by 3, it results in an integer without a remainder.
Answer
Yes, $3$ divides $6$.
Answer for screen readers
Yes, 3 divides 6.
Steps to Solve
- Divide 6 by 3
To determine if 3 divides 6, we perform the division:
$$ \frac{6}{3} $$
This simplifies to 2.
- Check for remainder
We check if there is any remainder from the division. Since 6 divided by 3 equals 2, and there is no remainder, we conclude:
Remainder = 0
- Conclusion
Since dividing 6 by 3 results in an integer (2) and a remainder of 0, we confirm that 3 divides 6 evenly.
Yes, 3 divides 6.
More Information
Divisibility is foundational in arithmetic and number theory. When a number divides another without leaving a remainder, it demonstrates the relationship between the two numbers, which is a key concept in various mathematical applications.
Tips
- Miscalculating the division can lead to an incorrect conclusion. Always double-check the division.
- Forgetting to check for a remainder can also lead to errors. It's essential to confirm that the remainder is 0 for divisibility.
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