Is 68 a Prime Number?

Is 68 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 68 a prime number? According to the definition mentioned above, we can say "No, 68 is not a prime number." Now let us take a look at the detailed solution of why is 68 a prime number or a composite number?

• Is 68 a prime number? - No
• Is 68 a composite number? - Yes
• Factors of 68 - 1, 2, 4, 17, 34, 68
• Prime Factors of 68 - 2, 17
• Is 68 a perfect square? - No

Is 68 a Prime Number?

No, 68 is not a prime number. The number 68 is divisible by 1, 2, 4, 17, 34, 68. For a number to be classified as a prime number, it should have exactly two factors. Since 68 has more than two factors, i.e. 1, 2, 4, 17, 34, 68, it is not a prime number.

Why is 68 not a Prime Number?

To understand whether 68 is prime or composite, it is important to find its factors.

Factors of 68: 1, 2, 4, 17, 34, 68

Since 68 has more than 2 factors, we can say that 68 is not a prime number.

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Is 68 a Composite Number?

Yes, since 68 has more than two factors i.e. 1, 2, 4, 17, 34, 68. In other words, 68 is a composite number because 68 has more than 2 factors.

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Fun Facts:

• A perfect square (square number) is always a composite number.
• Euler discovered a polynomial n² + n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39.
• Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1

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