170 LearnersLast updated on May 26th, 2025
Is 67 a Prime Number?
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.
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
Mistake 1
Misunderstanding the concept of prime number
To avoid this error, try to understand the concept of prime numbers. If a number is only divisible by one and the number itself, then the number is said to be a prime number.
For example,
- 67 is a prime number, as it's only divisible by 1 and 67.
- 15 is not a prime number as it is evenly divisible by 1, 3, 5, 15.
FAQs: Is 67 a prime number?
1.What are the factors of 67?
2.Write the number 67 in words?
3.Write the first five multiples of 67?
4.Are 67 and 69 prime numbers?
5.How can children in United States use numbers in everyday life to understand Is 67 a Prime Number??
6.What are some fun ways kids in United States can practice Is 67 a Prime Number? with numbers?
7.What role do numbers and Is 67 a Prime Number? play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve Is 67 a Prime Number? skills?
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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About BrightChamps in United States
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.
