
Write all prime numbers between: 80 and 100
Answer
490.8k+ views
8 likes
Hint: Prime numbers basically are the numbers that have only two numbers as their factors (by the product of which they are formed). So, we can write down all the numbers lying between the given range and observe which of them satisfies the condition of being prime. These numbers will be our required answer.
Complete step-by-step answer:
By observing the factors of all the numbers between 80 and 100, we can find which of them are prime.
The numbers which are divisible by 1 and themselves are referred to as prime numbers.
These are the numbers who does not have more than two factors (except 1 and the number).
Factors are the numbers by the product of which the original number is obtained.
Factors for the numbers between 80 and 100 are given as:
The only numbers with 2 factors i.e. 1 and the number itself are 83, 89 and 97.
Therefore, the prime numbers between 80 and 100 are 83, 89 and 97.
So, the correct answer is “ 83, 89 and 97”.
Note: Instead of writing down all the factors of the numbers lying in the given range, we can use divisibility rules of various numbers. As prime factors will not have other factors except 1 and itself, then they should not satisfy any divisibility rule. For example:
Any number with even digits at its one place will be divisible by 2. E.g. 94, 92, etc. will be divisible by 2 and thus will not be prime.
If the sum of the digits of the number is divisible by 3, then the number will also be divisible by 3. E.g. the sum of digits in 93 is 12 which is divisible by 3, so 936 will also be divisible by 3 and thus will not be a prime number.
Any number with 5 or 0 at its one place will be divisible by 5. E.g. 95, 90, etc. will be divisible by 5 and thus will not be prime.
Complete step-by-step answer:
By observing the factors of all the numbers between 80 and 100, we can find which of them are prime.
The numbers which are divisible by 1 and themselves are referred to as prime numbers.
These are the numbers who does not have more than two factors (except 1 and the number).
Factors are the numbers by the product of which the original number is obtained.
Factors for the numbers between 80 and 100 are given as:
The only numbers with 2 factors i.e. 1 and the number itself are 83, 89 and 97.
Therefore, the prime numbers between 80 and 100 are 83, 89 and 97.
So, the correct answer is “ 83, 89 and 97”.
Note: Instead of writing down all the factors of the numbers lying in the given range, we can use divisibility rules of various numbers. As prime factors will not have other factors except 1 and itself, then they should not satisfy any divisibility rule. For example:
Any number with even digits at its one place will be divisible by 2. E.g. 94, 92, etc. will be divisible by 2 and thus will not be prime.
If the sum of the digits of the number is divisible by 3, then the number will also be divisible by 3. E.g. the sum of digits in 93 is 12 which is divisible by 3, so 936 will also be divisible by 3 and thus will not be a prime number.
Any number with 5 or 0 at its one place will be divisible by 5. E.g. 95, 90, etc. will be divisible by 5 and thus will not be prime.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
EMI starts from ₹2,775 per month
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ounces are in 500 mL class 8 maths CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE
