205 LearnersLast updated on May 26th, 2025
Is 62 a Prime Number?
A number is classified as a prime number if it satisfies a certain condition. The number has to be having only two factors 1 and the number itself, all other numbers which have more than two factors are categorized under composite numbers. The prime are used in our everyday life for the security and pin encryption and in machinery building.
Is 62 a prime number?
A prime number should not have factors more than 2 but 62 has 4 divisors. No, 62 is a composite number.
The divisors of 62 are 1, 2, 31, and 62. Therefore, 62 is a composite number. Composite numbers are the numbers which have factors more than 2.
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Why is 62 a prime number?
A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. 62 has factors more than 2, so it is a composite number.
Given below are a few ways that can be used to find prime or composite numbers.
Using the Counting Divisors Method
In this method, the divisors of a number are listed, and the number is checked, to be called a prime number. The counting divisors method for 62 would simply be
Divisors of 62=1, 2, 31, 62
Number of divisors=4
The number 62 can be considered composite.
Using the Divisibility Test Method
In divisibility method, the prime number only has 2 divisors, which are 1 and itself.
Divisors of 62=1, 2, 31, 62
As 62 has factors more than 2 then it is not a prime number.
Using Prime Number Chart
We write the prime number chart up to 10, which helps in sorting numbers.
The prime numbers from 1 to 10 are 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. 62 is not on the list, so it is not a prime number.
Using the Prime Factorization Method
This method is only used for a composite number. Since 62 is a composite number, prime factorization for 62 is : 21 x 311
Hence, the prime factors of 62 are 2 and 31.
Common Mistakes to Avoid When Determining if 62 is a Prime Number.
It is common to make mistakes while learning the prime numbers, and children while learning prime numbers for the first time it is mostly certain to happen. The mistakes and the solution given below will help you in getting an idea on where all mistakes might be made and how to avoid them.
Mistake 1
Assuming only odd numbers are prime numbers.
All odd numbers are not prime numbers and all prime numbers are not odd numbers, the students should understand this and check if a number is prime or not.
Mistake 2
Confusing composite numbers with prime numbers.
Children might not understand the difference between composite numbers and prime numbers and might also interchange in between them.
Mistake 3
Not differentiating between factors and multiples of 62.
Factors of a number are the numbers which can divide 62 completely without leaving a remainder, and the multiples are numbers which can be used to multiply 62.
Mistake 4
Wrongly guessing numbers as prime numbers.
The numbers when guessed by the students, there is a great chance that the number might be wrongly guessed. The students might guess prime numbers as composite and the vice versa can also happen.
Mistake 5
Not considering 1 as a factor.
Students might not count 1 as a factor, and will mostly skip it, which results in wrong count of factors.
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FAQs for “Is 62 a Prime Number”
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Important Glossaries for "Is 62 a Prime Number"
- Divisibility: The property of a number which can divide another number completely without leaving any remainder.
- Chart of Prime Numbers: The numbers which has only two factors are listed together.
- Composite Number: A number that has more than two positive divisors which are opposite to prime numbers which has only two factors.
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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.
