Is 67 a Prime Number?
2026-02-28 01:28 Diff
https://brightchamps.com/en-us/math/numbers/is-67-a-prime-number

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Last updated on August 5, 2025

First, let's discuss what is a prime number? A prime number is the number which has only two factors — one and the number itself. In your daily life, we are using it for cyber-age security. Let us examine whether 67 is a prime number or not through this article.

Is 67 a prime number?

Let’s check whether 67 is a prime number or not? A prime number should be only evenly divisible by one and the number itself. As 67 is greater than 1 and only evenly divisible by 1 and 67, so 67 is a prime number.


 

Why is 67 a Prime Number?

Let us check why 67 is a prime number. The number is only divisible by 1 and 67, so it is a prime number.

There are some methods used to check whether a number is prime or not.

Let us discuss some common methods used to find out the prime number.
 

Using the Counting Divisors Method

A number is considered to be prime only if it is divisible by one and the number itself. Here, the total number of divisors is counted to check whether it's a prime number or not. 


 So, let’s check whether the number 67 is prime or not. As 67 is only divisible by 1 and 67 is a prime number.

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Using the Divisibility Test Method

In the divisibility test, we will check the divisibility of the number with the other numbers which are less than its square roots. Now, let’s check whether 67 is a prime number or not using the divisibility test. The square root of 67 is approximately around 8. So, we need to check till 7

Checking the divisibility by 2: As 67 is an odd number so, it is not divisible by 2


Checking the divisibility by 3: As 6 +7 is 13 and 13 is not divisible by 3. Hence, 67 is not divisible by 3


Checking the divisibility 5: As 67 is not ending in 0 or 5 it is not divisible by 5


Checking the divisibility by 7: When we divide 67 by 7 it leaves a remainder of 3. Hence, 67 is not divisible by 7.

Therefore, 1 and 67 are the only factors of 67, so 67 is a prime number.
 

Using Prime Number Chart

Prime number chart is a chart with all the prime numbers. Let’s check the prime number chart till 70.

The prime number charts from 2 to 71 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71,…

when we analyze the chart, 67 is a part of the chart. As 67 is a part of the chart, 67 is a prime number.
 

Using the Prime Factorization Method

Prime factorization is the process of writing a number as a product of prime numbers. 67 is a prime number, it cannot be factorized into a small number. 
 

Common mistakes to avoid when determining if 67 is a prime number

While determining the prime number, we often tend to make errors. Let's check some common mistakes
 

FAQs: Is 67 a prime number?

1.What are the factors of 67?

The factors of 67 are 1 and 67
 

2.Write the number 67 in words?

The number 67 in words is written as sixty-seven
 

3.Write the first five multiples of 67?

The first five multiples of 67 are 67, 134, 201, 268, 335
 

4.Are 67 and 69 prime numbers?

67 is a prime number, as it is only divisible by 1 and 67. 69 is not a prime number, as it is divisible by 1, 3, 23, 69.
 

Important Glossaries for "Is 67 a Prime Number"

  • Prime number: If a number is only divisible by the one and the number itself, then the number is a prime number.
  • Factors: Factors are the numbers which can divide a number evenly. For example, factors of 4 are 1, 2, 4
  • Square root: Square root of a number is a number when the number is multiplied by itself the product is the original number 
  • Even number: If a number is evenly divisible by 2 then the number is even number 
     

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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.