Last updated on July 2nd, 2025
The natural numbers greater than 1 are called prime numbers. Prime numbers have only two factors, 1 and the number itself. Besides math, we use prime numbers in many fields, such as securing digital data, radio frequency identification, etc. In this topic, we will learn about the prime numbers 201 to 300.
A prime number is a natural number with no positive factors other than 1 and the number itself. A prime number can only be evenly divisible by 1 and the number itself. Here are some basic properties of prime numbers:
A prime number chart is a table showing the prime numbers in increasing order. The chart simply includes all the prime numbers up to a certain limit for identifying the prime numbers within a range.
For kids, it will be less difficult to understand the prime numbers through the chart. The significance of this prime number chart is used in different fields like the Foundation of mathematics and the fundamental theorem of arithmetic.
The list of all prime numbers from 201 to 300 provides a comprehensive view of numbers in this range that can only be divided by 1 and the number itself. The prime numbers in the range of 201 to 300 include
Prime numbers and odd numbers are the numbers that are only divisible by 1 and the number itself. They cannot be evenly divisible by 2 or other numbers. 2 is the only even prime number, which divides all the non-prime numbers. Therefore, except 2, all prime numbers are considered as the set of odd numbers.
Prime numbers are a set of natural numbers that can only be divided by 1 and the number itself. Here are the two important ways to find whether a number is prime or not.
To find whether a number is prime or not, we use the divisibility method to check. If a number is divisible by 2, 3, or 5 then it will result in a non-prime number. Prime numbers are only divisible by 1 and itself, so if a number is divisible by the number itself and 1 is meant to be a prime number.
For example: To check whether 233 is a prime number,
Step 1: 233 ÷ 2 = 116.5 (remainder ≠ 0)
Step 2: 233 ÷ 3 = 77.66 (remainder ≠ 0)
Step 3: 233 ÷ 5 = 46.6 (remainder ≠ 0)
Since no divisors are found, 233 is a prime number.
The Prime factorization method is the process of breaking down the composite number into the product of its prime factors. The method of prime factorization helps to identify the prime numbers up to 300 by building the smallest blocks of any given number.
For example: The prime factorization of 300: Let's break it down into the smallest prime numbers until it can’t divide anymore.
Step 1: 300 ÷ 2 = 150
Step 2: Now, we divide 150, 150 ÷ 2 = 75
Step 3: Now take 75, since 75 ends in 5 divide the number with 5 75 ÷ 5 = 15
Step 4: Take 15, since 15 ends in 5 divide the number with 5 15 ÷ 5 = 3
Step 5: At last, take 3. 3 ÷ 3 = 1 (since 3 is a prime number, and dividing by 3 gives 1)
Therefore, the prime factorization of 300 is: 300 = 2² × 3 × 5².
Rule 1: Divisibility Check: Prime numbers are natural numbers that are greater than 1 and have no divisors other than 1 and the number itself. In the divisibility check rule, we check whether the prime number is divisible by 2, 3, 5, and 7. If it's divisible by these numbers then it's not a prime number.
Rule 2: Prime Factorization: In this prime factorization method, we break down all the numbers into their prime factors, showing them as the product of prime numbers.
Rule 3: Sieve of Eratosthenes Method: The method, sieve of Eratosthenes is an ancient algorithm used to find all prime numbers up to a given limit. First, we list all the numbers from 201 to 300. Then start with the first prime number greater than 201, which is 211. Mark all the multiples of 211 as non-prime.
Repeat the process for the next unmarked prime number and continue until you reach the square root of 300, approximately 17.32. The remaining unmarked numbers are the prime numbers.
While working with the prime numbers 201 to 300, children might encounter some errors or difficulties. We have many solutions to resolve those problems. Here are some given below:
Is 293 a prime number?
Yes, 293 is a prime number.
The square root of 293 is √293 ≈ 17.11, we check divisibility by primes less than 17.11 (2, 3, 5, 7, 11, 13, 17).
293 ÷ 2 = 146.5
293 ÷ 3 = 97.66
293 ÷ 5 = 58.6
293 ÷ 7 = 41.857
293 ÷ 11 = 26.636
293 ÷ 13 = 22.538
293 ÷ 17 = 17.235
Since 293 is not divisible by any of these numbers, 293 is a prime number.
Annie is trying to open a digital locker with a 3-digit number. The code is the largest prime number under 300. Which prime number will open the lock?
293 is the 3-digit code of the digital locker and the largest prime number under 300.
Prime numbers are natural numbers that are greater than 1 and have no divisors other than 1 and the number itself. The prime numbers under 300 are 211, 223, 227, 229, 233, and so on. 293 is the largest prime number under 300, therefore the code to open the digital locker is 293.
A teacher challenges her students: Find the prime numbers that are closest to 250 but less than 250.
241 is the prime number closest to 250.
241 is a prime number because it is only divisible by 1 and the number itself. And the next prime number after 241 is 251, which is greater than 250. Therefore, the prime number closest to 250 and less than 250 is 241.
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.