Is 0 divisible by 3?
Understand the Problem
The question is asking whether the number 0 can be evenly divided by 3, which involves understanding the concept of divisibility.
Answer
Yes, $0$ is evenly divisible by $3$.
Answer for screen readers
Yes, 0 can be evenly divided by 3.
Steps to Solve
- Understanding Even Division
Even division means that a number can be divided by another number without leaving a remainder. To check if 0 can be evenly divided by 3, we need to perform the division.
- Performing the Division
We divide 0 by 3:
$$ 0 \div 3 = 0 $$
- Checking the Remainder
To confirm even division, we check if there is a remainder. The division we performed shows that:
$$ 0 = 3 \times 0 + 0 $$
This indicates that when dividing 0 by 3, the remainder is indeed 0.
- Conclusion
Since there is no remainder, we conclude that 0 is evenly divisible by 3.
Yes, 0 can be evenly divided by 3.
More Information
In mathematics, any number can divide zero without remainder, which leads to the result of 0. Thus, 0 is divisible by any non-zero integer, including 3.
Tips
A common mistake is assuming that since 0 is small, it cannot be divided by another number. Remember, 0 divided by any non-zero number always equals 0 with no remainder.