Is 3 a factor of 25?
Understand the Problem
The question is asking whether the number 3 divides evenly into the number 25 without leaving a remainder. This involves determining the divisibility of 25 by 3.
Answer
No, $3$ does not divide evenly into $25$.
Answer for screen readers
No, 3 does not divide evenly into 25.
Steps to Solve
- Perform the Division To check if 3 divides evenly into 25, divide 25 by 3:
$$ 25 \div 3 = 8.33... $$
- Find the Quotient and Remainder Calculate the integer part of the division (the quotient) and find the remainder. The integer part of 8.33 is 8, which means:
$$ 3 \times 8 = 24 $$
Now, subtract this product from 25 to find the remainder:
$$ 25 - 24 = 1 $$
- Conclusion about Divisibility Since the remainder is 1, it means that 25 is not divisible by 3 evenly. For a number to be divisible, the remainder should be 0.
No, 3 does not divide evenly into 25.
More Information
Divisibility is an important concept in mathematics, especially in number theory. Knowing whether one number divides another helps in various calculations and proofs. In this case, since 25 divided by 3 leaves a remainder of 1, it confirms that 3 is not a divisor of 25.
Tips
- A common mistake is to only check the quotient and ignore the remainder. Always remember to find the remainder to conclude divisibility.
- Another mistake is to round the quotient and assume it gives the correct multiples. Always use the exact values to find the final result.
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