Is 66 a Prime Number?

Is 66 a prime number? "No, 66 is not a prime number." A number can be classified as prime or composite depending on the factors it contains; it could either have only 2 factors or more than 2 factors. Numbers like 659 with only 2 factors, i.e. 1 and 659 are called prime numbers. However, numbers like 646 with more than 2 factors are called composite numbers. Let us find out how and why is 66 a prime number or a composite number?

• Is 66 a prime number? - No
• Is 66 a composite number? - Yes
• Factors of 66 - 1, 2, 3, 6, 11, 22, 33, 66
• Is 66 a perfect square? - No
• Prime Factors of 66 - 2, 3, 11

Is 66 a Prime Number?

No, 66 is not a prime number. The number 66 is divisible by 1, 2, 3, 6, 11, 22, 33, 66. For a number to be classified as a prime number, it should have exactly two factors. Since 66 has more than two factors, i.e. 1, 2, 3, 6, 11, 22, 33, 66, it is not a prime number.

Why is 66 not a Prime Number?

To understand whether 66 is composite or prime, it is important to find its factors.

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Since 66 has more than 2 factors, we can say that 66 is not a prime number.

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Is 66 a Composite Number?

Yes, since 66 has more than two factors i.e. 1, 2, 3, 6, 11, 22, 33, 66. In other words, 66 is a composite number because 66 has more than 2 factors.

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Fun Facts:

• 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
• A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (311, 313) are twin prime numbers.
• 23 is the smallest prime number having consecutive digits.

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