Is 67 a Prime Number? Yes, Here's Why
Yes, 67 is a prime number. Its only divisors are 1 and 67, and it cannot be divided evenly by any other whole numbers.
67 Is a Prime: The Simple Explanation
A prime number is defined as a number greater than 1 that has exactly two distinct divisors: 1 and itself. Since 67 is only divisible by 1 and 67, it meets this definition and is therefore a prime number.
Factorization of 67
The factorization of any prime number is always just 1 and itself. For 67, the only possible whole-number factors are:
- 1
- 67
67 cannot be evenly divided by 2, 3, 5, 7, or any other whole number except 1 and 67.
Why 67 Is Not Composite
A composite number has more than two divisors. For example, 12 is composite because it has divisors 1, 2, 3, 4, 6, and 12. Since 67 only has two divisors, it cannot be composite.
Sharpen Your Prime Spotting Skills
Quickly recognizing numbers like 67 as prime is a valuable mental math skill. You can practice identifying primes against the clock by playing Prime 59, a fast-paced mental-math puzzle game. This helps you get faster and more confident at spotting primes in any context.
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Try Prime 59FAQ
Is 67 a prime number?
Yes, 67 is a prime number because its only divisors are 1 and 67.
What are the factors of 67?
The only factors of 67 are 1 and 67.
Why isn’t 67 divisible by 2, 3, 5, or 7?
67 divided by 2, 3, 5, or 7 does not result in a whole number, so these are not factors of 67.
How can I get better at spotting prime numbers like 67?
You can practice identifying prime numbers quickly by playing mental-math games like Prime 59.
What makes a number prime?
A prime number has exactly two distinct divisors: 1 and itself.