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164 LearnersLast updated on December 1st, 2024
Is 71 a Prime Number?
Is 71 considered to be a prime number? In this article, let’s check whether 71 is a prime number or not. What is a prime number? The number which is only divisible by one and the number itself is a prime number. In our daily life, we use in our classrooms, cryptography, and cybersecurity.
Is 71 a Prime Number
In this article, let us check whether 71 is a prime number or not. If a number is only divisible by one and the number itself, then the number is a prime number. 71 is a prime number, as it is only divisible by 1 and 71.
Why is 71 a Prime Number?
If a number is only divisible by one and the number itself, then the number is a prime number. There are different methods to check whether a number is prime or not.
- Counting Divisors Method
- Divisibility Test
- Prime Number Chart
- Prime Factorization (For Non-Primes)
Using the Counting Divisors Method
Division plays an important criterion to find prime numbers. In counting divisors method, the divisors of a number are counted. If a number is having more than two factors, then the number is a composite number.
71 is only divisible by 1 and 71, therefore 71 is a prime number.
Using the Divisibility Test Method
To determine whether a number is prime or composite, the divisibility method is used. In this method, the other numbers divide the given number. The divisors are from two to the square root of the number.
When we check the square root of 71, it is approximately 8, so we need to divide the number with 2,3,4,5,6,7.
- Checking the divisibility by 2: As 71 is an odd number, it is not divisible by 2
- Checking the divisibility by 3: As 7+1 is 8 and 8 is not divisible by 3. So 71 is not divisible by 3
- Checking the divisibility by 5: 71 is not ending with 0 or 5, so 71 is not divisible by 5
- Checking the divisibility by 7: 71 is not even divisible by 7. So, 71 is not divisible by 7
Using Prime Number Chart
Let’s check the prime number chart till 80. The numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79…. As 71 is a part of the chart, 71 is a prime number.
Using the Prime Factorization Method
The prime factorization of a number is the list of prime numbers when multiplied together gives the number as a product. As 71 is a prime number, it cannot be factorized.
Common Mistakes to Avoid When Determining if 71 is a Prime Number
FAQs: Is 71 a Prime Number?
1.What are the factors of 71?
2.Are 71 and 73 Co-primes?
3.Which is the smallest prime number?
4.Write the factor of 72?
Important Glossaries for "Is 71 a Prime Number"
- Even number: The number which leaves no remainder when divided by 2, then the number is an even number.
- Prime number: If a number has only two factors — one and the number itself, then the number is a prime number.
- Prime number chart: The chart with all the prime numbers
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
