What is 71 divisible by?
Understand the Problem
The question is asking for the numbers that can divide 71 evenly, meaning it is seeking the divisors of 71.
Answer
The divisors of 71 are \(1\) and \(71\).
Answer for screen readers
The divisors of 71 are (1) and (71).
Steps to Solve
- Identify the Definition of a Divisor
A divisor of a number is any integer that can divide that number without leaving a remainder.
- Check for Divisibility by Small Numbers
To find the divisors of 71, we can start checking from 1 up to the square root of 71. Since 71 is a positive integer, we consider all integer values from 1 to 8 (because $8^2 = 64$ and $9^2 = 81$).
-
Test Each Integer for Divisibility
- Check $71 \div 1$: Remainder is 0, thus 1 is a divisor.
- Check $71 \div 2$: Remainder is 1, not a divisor.
- Check $71 \div 3$: Remainder is 2, not a divisor.
- Check $71 \div 4$: Remainder is 3, not a divisor.
- Check $71 \div 5$: Remainder is 1, not a divisor.
- Check $71 \div 6$: Remainder is 5, not a divisor.
- Check $71 \div 7$: Remainder is 2, not a divisor.
- Check $71 \div 8$: Remainder is 7, not a divisor.
- Check $71 \div 71$: Remainder is 0, thus 71 is a divisor.
-
Conclude the Divisors
We compile the numbers we found that can divide evenly into 71. The only divisors we found are 1 and 71 itself.
The divisors of 71 are (1) and (71).
More Information
71 is a prime number, which means it has no divisors other than 1 and itself. This property is important in number theory and helps in various applications like cryptography.
Tips
- Confusing the concept of factors with multiples. Remember, factors are the numbers that divide into another number evenly, while multiples are what you get when you multiply a number by an integer.
AI-generated content may contain errors. Please verify critical information
