Last updated on July 2nd, 2025
The natural numbers greater than 1 that are not divisible by any other numbers except 1 and themselves are called prime numbers. Prime numbers have only two factors: 1 and the number itself. They play a crucial role in various fields, such as cryptography, mathematics, and computer science. In this topic, we will focus on the prime numbers between 1 and 9.
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. Prime numbers are only divisible by 1 and themselves. Here are some basic properties of prime numbers:
A prime number chart is a simple representation showing the prime numbers in increasing order. For the range 1 to 9, the chart is particularly straightforward. It helps in recognizing prime numbers quickly and is foundational in understanding number theory.
The list of all prime numbers from 1 to 9 provides a clear view of numbers in this range that are only divisible by 1 and themselves. The prime numbers in the range of 1 to 9 include 2, 3, 5, and 7.
While most prime numbers are odd, 2 is the only even prime number. Thus, when discussing prime numbers, it's important to note that except for 2, all other prime numbers are odd.
Prime numbers can be identified through a couple of methods:
Check if a number is divisible by any numbers other than 1 and itself. If it is not, then it is a prime number.
For example: To check whether 5 is a prime number:
5 ÷ 2 = 2.5 (remainder ≠ 0)
5 ÷ 3 = 1.66 (remainder ≠ 0)
Since no divisors are found, 5 is a prime number.
Rule 1: Divisibility Check: Prime numbers are greater than 1 and have no divisors other than 1 and themselves. For numbers 1 to 9, check divisibility by numbers less than their square root.
Rule 2: Observation: For small numbers, direct observation is effective. For example, 2, 3, 5, and 7 are easily identified as prime numbers.
While working with prime numbers 1 to 9, students might encounter some errors or difficulties. Here are some solutions to address these issues:
Is 7 a prime number?
Yes, 7 is a prime number.
7 is a prime number because it cannot be divided evenly by any number other than 1 and 7 itself.
What is the smallest prime number?
The smallest prime number is 2.
2 is the smallest prime number and also the only even prime number. It is divisible only by 1 and itself.
A teacher asks: Which prime number is closest to 6?
5 is the prime number closest to 6.
5 is a prime number because it is only divisible by 1 and itself. It is the closest prime number to 6.
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.
: She loves to read number jokes and games.