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Last updated on December 1st, 2024
Prime numbers have often fascinated mathematicians. Especially because of their no order or pattern for appearance at random. Even when we don’t understand their emergence in the list of numbers, we apply them in medicine, computer algorithms, cryptography, and others.
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.
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.
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.
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.
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
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.