143 LearnersLast updated on May 26th, 2025
Is 313 a Prime Number?
Identifying prime numbers is the most basic and important part before solving some mathematical problems, like that of prime factorization, etc. These numbers can be used in computer security or cryptography, designing computer algorithms, etc. We will know more about Prime numbers and check whether 313 is a prime number or not.
Is 313 a Prime Number?
A number to be identified as a prime number: the number should not have more than two factors, that too only 1 and itself, or else it is a composite number. 313 is a prime number, since factors of 313 are 1 and 313, where the count of factors is exactly two, hence, it is a prime number.
Why is 313 a Prime Number?
We will now check through various methods to see if 313 is a prime number or not. Let’s proceed.
- Counting Divisors Method
- Prime Number Chart
- Prime Factorization Method
Using the Counting Divisors Method
The only condition this method involves is that a particular number is prime if and only if it has two distinct integers as its divisors. In the case of 313, the distinct divisors are: 1 and 313. Hence, there exist not more than two divisors of 313. Hence, 313 is prime.
Using Prime Number Chart
The list of prime numbers up to 400 are →
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397
Following the above chart for reference, we can see that 313 is in the list. Hence, 313 is a prime number.
Using the Prime Factorization Method
Prime factorization of, 313
313 = 1×313
313 is not being easily factored into distinct smaller prime factors, clearly making it a prime number.
Common Mistakes to Avoid When Determining 313 is a Prime Number
Dealing with prime and composite asks for the identification of prime numbers in the first count. So wrong concepts can lead to silly mistakes. Let us see how to avoid them.
Mistake 1
Some students assume that all the odd numbers are prime.
All the odd numbers are not prime numbers, but all the prime numbers are odd numbers. Check the primality of that number before assuming.
FAQs Is 313 a Prime Number?
1.What are prime numbers from 1 to 50?
2.Which is the smallest prime number?
3.What are the factors of 314?
4.Is 313 an odd number?
5.Is 11 a factor of 313?
6.How can children in Thailand use numbers in everyday life to understand Is 313 a Prime Number??
7.What are some fun ways kids in Thailand can practice Is 313 a Prime Number? with numbers?
8.What role do numbers and Is 313 a Prime Number? play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Is 313 a Prime Number? skills?
Important glossaries for “Is 313 a prime number?”
- Cryptography: This is the branch which deals with cybersecurity, applying encoding-decoding methods.
- Prime Factorization: The process of breaking down a number into the product of its prime factors only, is called Prime Factorization.
- Composite numbers: Composite numbers are numbers which have factors more than two.
- Twin prime numbers: Twin primes are those prime number pairs that have a difference of 2.
- Perfect Divisor: Integers that divide into numbers, leaving no remainders behind.
- Primality: The property of being a prime number, which is a natural number with factors only of itself and 1.
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About BrightChamps in Thailand
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.
