103 LearnersLast updated on June 30th, 2025
Prime Numbers 90 to 100
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 between 90 and 100.
Prime Numbers 90 to 100
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:
- Every number greater than 1 is divisible by at least one prime number.
- Two prime numbers are always relatively prime to each other.
- Every even positive integer greater than 2 can be written as the sum of two prime numbers.
- Every composite number can be uniquely factored into prime factors.
- Except for 2, all prime numbers are odd; 2 is the only even prime number.
Prime Numbers 90 to 100 Chart
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.
List of All Prime Numbers 90 to 100
The list of all prime numbers from 90 to 100 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 90 to 100 include 97.
Prime Numbers - Odd Numbers
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 for 2, all prime numbers are considered as the set of odd numbers.
How to Identify Prime Numbers 90 to 100
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:
By Divisibility Method:
To find whether a number is prime, we use the divisibility method to check. If a number is divisible by 2, 3, 5, or 7, then it will result in a non-prime number. Prime numbers are only divisible by 1 and themselves, so if a number is divisible by the number itself and 1, it is a prime number.
For example: To check whether 97 is a prime number,
Step 1: 97 ÷ 2 = 48.5 (remainder ≠ 0)
Step 2: 97 ÷ 3 = 32.33 (remainder ≠ 0)
Step 3: 97 ÷ 5 = 19.4 (remainder ≠ 0)
Step 4: 97 ÷ 7 = 13.857 (remainder ≠ 0)
Since no divisors are found, 97 is a prime number.
By Prime Factorization Method:
The prime factorization method is the process of breaking down a composite number into the product of its prime factors. The method of prime factorization helps to identify the prime numbers by building the smallest blocks of any given number.
Rules for Identifying Prime Numbers 90 to 100
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 1 to 100. Then start with the first prime number, 2. Mark all the multiples of 2 as non-prime.
Repeat the process for the next unmarked prime number and continue until you reach the square root of 100, which is 10. The remaining unmarked numbers are the prime numbers.
Tips and Tricks for Prime Numbers 90 to 100
- Use common shortcuts to memorize the prime numbers. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 use these numbers as reference.
- Practice using the method of Sieve of Eratosthenes efficiently.
- Numbers like 4, 8, 9, 16, 25, 36 are never meant to be prime. Knowing the common powers of numbers helps in avoiding unnecessary checks.
Common Mistakes and How to Avoid Them in Prime Numbers 90 to 100
While working with the prime numbers 90 to 100, children might encounter some errors or difficulties. We have many solutions to resolve those problems. Here are some given below:
Mistake 1
Confusing composite numbers with prime numbers.
A prime number has exactly 2 divisors: 1 and the number itself. Remember that composite numbers have more than 2 divisors. For example, 90 is not a prime number because it has more than 2 divisors.
Mistake 2
Including 1 as a prime number.
Always remember that primes are greater than 1. 1 is not a prime number because it has only one divisor: itself.
Mistake 3
Not efficiently using the prime checking method.
Practice using the method of Sieve of Eratosthenes efficiently, or check divisibility by primes up to the square root of the number. For example, while checking the divisibility of 97, stop once you reach √97.
Mistake 4
Not realizing about the primes in the larger prime range.
Keep on practicing identifying the larger primes, as it helps to sharpen the skills of children. The usage of the method of Sieve of Eratosthenes helps to solve this.
Mistake 5
Forgetting that multiples of any prime number are not prime.
Erase all the multiples of known prime numbers as soon as possible. For example, if you're checking numbers up to 100, you don't have to check numbers divisible by 2, 3, 5, or 7 because they are not prime.
Prime Numbers Examples
Problem 1
Is 97 a prime number?
Yes, 97 is a prime number.
Explanation
The square root of 97 is √97 ≈ 9.8,
so we check divisibility by primes less than 9.8 (2, 3, 5, 7).
97 ÷ 2 = 48.5
97 ÷ 3 = 32.33
97 ÷ 5 = 19.4
97 ÷ 7 = 13.857
Since 97 is not divisible by any of these numbers, 97 is a prime number.
Problem 2
Eli is setting up a security code with a 2-digit number. The code is the largest prime number under 100. Which prime number will secure the system?
97 is the 2-digit code for the system and the largest prime number under 100.
Explanation
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 100 include 2, 3, 5, 7, 11, 13, and so on.
97 is the largest prime number under 100, therefore the code to secure the system is 97.
Problem 3
A teacher challenges her students: Find the prime number that is closest to 90 but less than 90.
89 is the prime number closest to 90.
Explanation
89 is a prime number because it is only divisible by 1 and the number itself.
The next prime number after 89 is 97, which is greater than 90.
Therefore, the prime number closest to 90 and less than 90 is 89.
FAQs on Prime Numbers 90 to 100
1.Give some examples of prime numbers.
2.Explain prime numbers in math.
3.Is 2 the smallest prime number?
4.Which is the largest prime number?
5.Which is the largest prime number between 90 and 100?
6.How can children in Philippines use numbers in everyday life to understand Prime Numbers 90 to 100?
7.What are some fun ways kids in Philippines can practice Prime Numbers 90 to 100 with numbers?
8.What role do numbers and Prime Numbers 90 to 100 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Prime Numbers 90 to 100 skills?
Important Glossaries for Prime Numbers 90 to 100
- Prime numbers: Natural numbers greater than 1 that are divisible only by 1 and themselves. For example, 2, 3, 5, 7, 11, 13, and so on.
- Odd numbers: Numbers that are not divisible by 2. All prime numbers except 2 are odd. For example, 3, 5, 7, 9, 11, 13, and so on.
- Composite numbers: Non-prime numbers that have more than 2 factors. For example, 12 is a composite number because it is divisible by 1, 2, 3, 4, 6, and 12.
- Divisibility: A method to determine whether one number is divisible by another without leaving a remainder. Important for checking prime numbers.
- Sieve of Eratosthenes: An ancient algorithm used to find all prime numbers up to a given limit by iteratively marking the multiples of each prime number starting from 2.
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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.
