Solved Questions on Prime Numbers
Question 1: Determine whether 37 is a prime number or not.
Solution:
As a prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself.
As 37 = 1 × 37,
Therefore, 37 has no divisors other than 1 and itself, and it is a prime number.
So, 37 is a prime number.
Question 2: Find all the prime numbers between 20 and 40.
Solution:
- 20 is not a prime number, since it is divisible by 2.
- 21 is not a prime number, since it is divisible by 3.
- 22 is not a prime number, since it is divisible by 2.
- 23 is a prime number since it has no divisors other than 1 and itself.
- 24 is not a prime number, since it is divisible by 2.
- 25 is not a prime number, since it is divisible by 5.
- 26 is not a prime number, since it is divisible by 2.
- 27 is not a prime number, since it is divisible by 3.
- 28 is not a prime number, since it is divisible by 2.
- 29 is a prime number since it has no divisors other than 1 and itself.
- 30 is not a prime number, since it is divisible by 2 and 3.
- 31 is a prime number since it has no divisors other than 1 and itself.
- 32 is not a prime number, since it is divisible by 2.
- 33 is not a prime number, since it is divisible by 3.
- 34 is not a prime number, since it is divisible by 2.
- 35 is not a prime number, since it is divisible by 5.
- 36 is not a prime number, since it is divisible by 2 and 3.
- 37 is a prime number since it has no divisors other than 1 and itself.
- 38 is not a prime number, since it is divisible by 2.
- 39 is not a prime number, since it is divisible by 3.
- 40 is not a prime number, since it is divisible by 2 and 5.
Therefore, the prime numbers between 20 and 40 are 23, 29, and 37.
List of All Prime Numbers From 1 to 100
There are 25 prime numbers from 1 to 100: 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.
Prime numbers are positive integers greater than 1 that have exactly two factors: 1 and the number itself. In other words, prime numbers are natural numbers that are divisible by only 1 and the number itself. Numbers with more than two factors are called composite numbers. All primes are odd numbers except for 2. There is no known formula for primes, nor a recognizable pattern or sequence the primes follow.
In this article, you will read about what are prime numbers, prime numbers 1 to 100, a list of prime numbers, differences between prime numbers and composite numbers, examples of prime numbers, etc.
Table of Content
- What are Prime Numbers in Maths?
- Prime Numbers List
- Prime Numbers 1 to 1000
- How to Find Prime Numbers?
- Properties of Prime Numbers
- Composite Numbers
- Prime Numbers Vs Composite Numbers
- Coprime Numbers
- History of Prime Numbers
- Importance of Prime Numbers