Is 65 a Prime Number?

Is 65 a prime number? How do you know that 65 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 65? Is 65 a prime number? "No, 65 is not a prime number." Since 65 has more than 2 factors i.e. 1, 5, 13, 65, it is a composite number. Let's study this in detail.

• Is 65 a prime number? - No
• Is 65 a composite number? - Yes
• Prime Factors of 65 - 5, 13
• Is 65 a perfect square? - No
• Factors of 65 - 1, 5, 13, 65

Is 65 a Prime Number?

No, 65 is not a prime number. The number 65 is divisible by 1, 5, 13, 65. For a number to be classified as a prime number, it should have exactly two factors. Since 65 has more than two factors, i.e. 1, 5, 13, 65, it is not a prime number.

Why is 65 not a Prime Number?

To understand whether 65 is prime or composite, it is important to find its factors.

Factors of 65: 1, 5, 13, 65

Since 65 has more than 2 factors, we can say that 65 is not a prime number.

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Is 65 a Composite Number?

Yes, since 65 has more than two factors i.e. 1, 5, 13, 65. In other words, 65 is a composite number because 65 has more than 2 factors.

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Fun Facts:

• 1 is neither prime nor composite.
• 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
• 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.

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