Is 3 a factor of 72?
Understand the Problem
The question is asking whether the number 3 can divide 72 without leaving a remainder. To determine this, we can divide 72 by 3 and check if the result is a whole number.
Answer
Yes, $3$ can divide $72$ without leaving a remainder.
Answer for screen readers
Yes, 3 can divide 72 without leaving a remainder.
Steps to Solve
- Divide 72 by 3
Begin by performing the division of 72 by 3 to check if 3 divides evenly into 72.
$$ \frac{72}{3} = 24 $$
- Check for a remainder
To determine if 3 divides 72 without a remainder, check if the division gives a whole number. Since 24 is a whole number and there is no remainder, we can conclude that 3 divides 72 evenly.
- Conclusion
Since there is no remainder in the division, we can state that the number 3 can divide 72 without leaving a remainder.
Yes, 3 can divide 72 without leaving a remainder.
More Information
The result shows that 72 is a multiple of 3, confirming that 3 divides into it evenly. The concept of divisibility is fundamental in arithmetic and number theory.
Tips
Common mistakes include:
- Not performing the division properly and arriving at the wrong quotient.
- Forgetting to check if the result is a whole number and mistakenly concluding that there is a remainder.
