Summarize this article:
411 LearnersLast updated on August 5, 2025
Is 146 a prime number?
Is 146 a prime number?
The number 146 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus the number 146 is a non-prime number. The factors of 146 include 1, 2, 73, and 146.
Why is 146, not, 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. Here, 146 has more than 2 factors, hence making it a composite number.
Given below are a few ways that can be used to find prime or composite numbers.
The different methods we can use to check if a number is a prime number are explained below.
- Counting Divisors Method
- Divisibility Test
- Prime Number Chart
- Prime Factorization
Using the Counting Divisors Method
For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.
The counting divisors method for 146 would simply be
Divisors of 146 = 1, 2, 73, 146
Number of divisors = 4
The number 146 can be considered composite.
Explore Our Programs
Using the Divisibility Method
In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.
In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.
The divisors of 146 are 1, 2, 73, and 146.
Thus, 146 consists of 4 factors that divide it completely without any remainder.
Using the Prime Number Chart
The prime number chart is the list of prime numbers starting from 2 to infinity.
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.
146 is not present in the list, it is not a prime number.
Using the Prime Factorization
This method is only used for a non-prime number/composite number. Since 146 is a composite number, the prime factorization for 146 is:
Factors of 146 = 2 × 73
Common mistakes to avoid when determining if 146 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
Misinterpreting all numbers to be prime.
A number being odd does not decide if the number will be prime. An odd number can also be a composite number.
Mistake 2
Skipping out the divisors
Without checking all the divisors of a number, 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 a range. As long as the criteria of having 2 divisors is fulfilled, the prime number can be any number.
Mistake 4
Failing to check smaller divisors
Sometimes we forget to check if the number can be divided by smaller prime numbers such as 2, 3, 5, or 7. Always check these before concluding.
Mistake 5
Overlooking the rule for even numbers
Since 146 is even, we know it is divisible by 2. An even number greater than 2 cannot be a prime number because it has divisors other than 1 and itself.
FAQ’s for "Is 146 a prime number"
1.Is 146 a prime number?
2.What is the largest prime factor of 146?
3.What is the smallest prime factor of 146?
4.Is 146 a composite number?
5.How to express 146 as a product of prime factors?
6.Represent 146 in the prime factor tree?
7.Do any perfect squares exist in the prime factors of 146?
8.Do any perfect cubes exist in the prime factors of 146?
9.What can 146 be divided by?
Glossary for "Is 146 a Prime Number?"
Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. 146 is not a prime number because it has more than two divisors (1, 2, 73, and 146).
Composite Number: A number that has more than two divisors. Since 146 has divisors other than 1 and itself, it is a composite number.
Divisors: The numbers that can divide a given number completely without leaving a remainder. For 146, the divisors are 1, 2, 73, and 146.
Prime Factorization: The process of expressing a number as a product of prime numbers. The prime factorization of 146 is 2 × 73.
Divisibility Test: A method used to determine whether a number is divisible by another number. For 146, the divisibility test shows it is divisible by 2 and 73, confirming it is not prime.
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.
We use cookies for essential site function, analytics, and marketing. You can accept all, reject non-essential cookies, or customize your choices. See our Cookie Policy.