Is 513 a Prime Number?

Is 513 a prime number? Numbers having only 2 factors, i.e. 1 and the number itself are known as prime numbers whereas numbers with more than 2 factors are known as composite. The answer to the question whether 513 is a prime or composite is - "513 is a composite number." Now, let us find out how and why is 513 a prime number or a composite number?

• Is 513 a prime number? - No
• Is 513 a composite number? - Yes
• Is 513 a perfect square? - No
• Prime Factors of 513 - 3, 19
• Factors of 513 - 1, 3, 9, 19, 27, 57, 171, 513

Is 513 a Prime Number?

No, 513 is not a prime number. The number 513 is divisible by 1, 3, 9, 19, 27, 57, 171, 513. For a number to be classified as a prime number, it should have exactly two factors. Since 513 has more than two factors, i.e. 1, 3, 9, 19, 27, 57, 171, 513, it is not a prime number.

Why is 513 not a Prime Number?

To understand whether 513 is composite or prime, it is important to find its factors.

Factors of 513: 1, 3, 9, 19, 27, 57, 171, 513

Since 513 has more than 2 factors, we can say that 513 is not a prime number.

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Is 513 a Composite Number?

Yes, since 513 has more than two factors i.e. 1, 3, 9, 19, 27, 57, 171, 513. In other words, 513 is a composite number because 513 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 semiprime number is a composite number that is the product of exactly two prime numbers. Example - 115 is semiprime, since 115 can be written as 5 × 23.
• A perfect square (square number) is always a composite number.

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