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440 LearnersLast updated on August 5, 2025
Is 72 a prime number?
Is 72 a prime number?
How do we find whether a number is prime or not? Let us check out the various methods to learn when we have to check if a number is a prime number.
Using the Counting Divisors Method
The counting divisors method for 72 would simply be
Divisors of 72= 1,2,3,4,6,8,9,12,18,24,36,72
Number of divisors= 12
The number 72 can be considered composite.
Using the Divisibility Test Method
In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.
Divisors of 72=1,2,3,4,6,8,9,12,18,24,36,72
As 72 has factors more than 2 then it is not a prime number.
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Using Prime Number Chart
The list of prime numbers under 100 are;
2,3,5,7,11,13,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97.
72 is not present in the list, it is not a prime number.
Using the Prime Factorization Method
This method is only used for a non-prime number/composite number. Since 72 is a composite number, prime factorization for 72 is :
Factors of 72 = 2×2×2×3×3
Common mistakes to avoid when determining if 72 is a prime number
It is highly likely we commit some mistakes due to confusion or unclear understanding. Let us look at possible mistakes we may make and try to avoid them.
Mistake 1
Thinking that all odd numbers are prime
not all odd numbers are prime numbers. A composite number can still be an odd number.
Mistake 2
Skipping out the divisors
without checking all the divisors of a number of students incorrectly conclude a number is prime or composite. Avoid doing this.
Mistake 3
Thinking prime numbers should fall in a range only
Prime numbers do not have range as long as the criteria of having 2 divisors is fulfilled the prime number can be any number.
FAQs: Is 72 a Prime Number?
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6.Important Glossaries for "Is 72 a Prime Number"
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.
