Is 501 a Prime Number?

Is 501 a prime number? How do you know that 501 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 501? Is 501 a prime number? "No, 501 is not a prime number." Since 501 has more than 2 factors i.e. 1, 3, 167, 501, it is a composite number. Let's study this in detail.

• Is 501 a prime number? - No
• Is 501 a composite number? - Yes
• Prime Factors of 501 - 3, 167
• Factors of 501 - 1, 3, 167, 501
• Is 501 a perfect square? - No

Is 501 a Prime Number?

No, 501 is not a prime number. The number 501 is divisible by 1, 3, 167, 501. For a number to be classified as a prime number, it should have exactly two factors. Since 501 has more than two factors, i.e. 1, 3, 167, 501, it is not a prime number.

Why is 501 not a Prime Number?

To understand whether 501 is prime or composite, it is important to find its factors.

Factors of 501: 1, 3, 167, 501

Since 501 has more than 2 factors, we can say that 501 is not a prime number.

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Is 501 a Composite Number?

Yes, since 501 has more than two factors i.e. 1, 3, 167, 501. In other words, 501 is a composite number because 501 has more than 2 factors.

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Fun Facts:

• 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.
• 5 is the only prime number having the last digit as 5.
• 2 is the smallest prime number.

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