Is 167 a Prime Number?
2026-02-28 17:59 Diff
https://brightchamps.com/en-us/math/numbers/is-167-a-prime-number

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Last updated on August 5, 2025

How do we describe prime numbers? It's quite simple. It is a number which is 1 and has only two factors. The only two factors are 1 and the number itself. These two factors can divide the number, leaving no reminder. In this topic, let us learn more about prime numbers.

Is 167 a Prime Number?

The number 167 is indeed considered as a prime number because it has only two divisors, which are the number one and itself. They have no other factors.

Why Is 167 a Prime Number?

A number is said to be a prime or not a prime only when certain conditions are met. To find those there are methods to perform and when the conditions are met only the numbers are categorized as prime and composite numbers.


The methods to check any numbers are as follows:

  • Count Divisor Method
  • Divisibility Test
  • Prime Number Table
  • Prime Factorization
     

Using the Counting Divisors Method

Counting divisors method refers to a type of method where we count the number of divisors of a particular number to find out whether the number is a prime number or not.

If we look at 167 we can see that it has only 2 divisors, which are 1 and 167 . Since 167 has only 2 divisors, it is a prime number.

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Using the Divisibility Test Method

In this test, we try to find out the prime numbers that divide the number without leaving any reminder.

Hence, we can see that there are no prime numbers that are able to easily divide 167 without leaving any remainder.

Hence, this proves that 167 is a prime number.
 

Using Prime Number Chart

This is a rather simple method where we write down all the prime numbers until we cross the required number,

for example let's write down all the prime numbers from 1 to 170. 2, 3, 5, 7…. 149, 151, 157, 163, 167.

From looking at the above list, we can see that 167 is a prime number.

Using the Prime Factorization Method

Prime factorization is a method where we represent a composite  number based on the factors of  two prime numbers.

In this case, the prime factors of the number 167 are none, hence it is a prime number.
 

Common Mistakes to Avoid When Determining if 167 is a Prime Number

While learning about prime numbers, it is common for children to end up in situations where mistakes can happen. Given below are a few mistakes, which will help students have an understanding of the mistakes.
 

FAQs : “Is 167 a Prime Number?”

1.Are there such numbers as negative prime numbers?

2.What is the prime number before 167?

In the above chart of prime numbers it is found that the prime number which comes before 167 is 163 since it is divisible only by 1 and itself and has no prime factors.
 

3.What kind of product will you get if you multiply two prime numbers?

To multiply two numbers is known as the prime factorization. When we do the prime factorization of two prime numbers, we get a composite number. An important point which should also be noted is that prime numbers do not have prime factors.
 

4. Is 25 a prime number?

Number forty cannot be a prime number because besides the obvious two divisors- 1 and 25- it has many other divisors, and it is a composite number that is made from factors two prime numbers 5 and 5.
 

Important Glossaries for "Is 167 a Prime Number"

  • Prime factors: Prime Factors are the prime numbers that multiply together to give a specific original number.
  • Prime Factorization: Multiplying two prime numbers to get one number is called prime factorization.
  • Co-prime: That is the two numbers that must not share any factor but only 1.
     

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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.