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Is 409 a Prime Number?

Is 409 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 409 a prime number? According to the definition mentioned above, we can say "yes, 409 is a prime number." Now let us take a look at the detailed solution of why is 409 a prime number?

Is 409 a prime number? - Yes
Is 409 a composite number? - No
Factors of 409 - 1, 409
Is 409 a perfect square? - No
Prime Factors of 409 - 409

Yes, 409 is a prime number. The number 409 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 409 has exactly two factors, i.e. 1 and 409, it is a prime number.

Is 409 a Prime or Composite?

How is 409 a Prime Number?

To understand whether 409 is composite or prime, it is important to find its factors.

Factors of 409: 1, 409

Therefore, we can say that 409 is a prime number since it has only 2 factors.

☛ Prime Number Calculator

Is 409 a Composite Number?

No, since 409 has only two factors, i.e. 1 and 409. In other words, 409 is not a composite number because 409 doesn’t have more than 2 factors.

Problem Statements:

Is 409 a Prime Number?	Yes
Is 409 a Composite Number?	No
Is 409 a Perfect Square?	No
Is 409 an Odd Number?	Yes
Cube Root of 409	7.422899
Is 409 an Even Number?	No
Square Root of 409	20.223748
Is 409 a Perfect Cube?	No
Multiples of 409	409, 818, 1227, 1636, 2045, 2454, 2863, 3272, 3681, 4090

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 - (41, 43) are twin prime numbers.
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.
All primes except 2 are odd.

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