Is 341 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 341, the answer is: No, 341 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 341) is as follows: 1, 11, 31, 341.

For 341 to be a prime number, it would have been required that 341 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

341 is a multiple of 1
341 is a multiple of 11
341 is a multiple of 31

For 341 to be a prime number, it would have been required that 341 has only two divisors, i.e., itself and 1.

However, 341 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 341 = 11 x 31, where 11 and 31 are both prime numbers.

Is 341 a deficient number?

Yes, 341 is a deficient number, that is to say 341 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 341 without 341 itself (that is 1 + 11 + 31 = 43).

Parity of 341

341 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 341 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 341 is about 18.466.

Thus, the square root of 341 is not an integer, and therefore 341 is not a square number.

What is the square number of 341?

The square of a number (here 341) is the result of the product of this number (341) by itself (i.e., 341 × 341); the square of 341 is sometimes called "raising 341 to the power 2", or "341 squared".

The square of 341 is 116 281 because 341 × 341 = 341² = 116 281.

As a consequence, 341 is the square root of 116 281.

Number of digits of 341

341 is a number with 3 digits.

What are the multiples of 341?

The multiples of 341 are all integers evenly divisible by 341, that is all numbers such that the remainder of the division by 341 is zero. There are infinitely many multiples of 341. The smallest multiples of 341 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 341 too, since 0 × 341 = 0
341: indeed, 341 is a multiple of itself, since 341 is evenly divisible by 341 (we have 341 / 341 = 1, so the remainder of this division is indeed zero)
682: indeed, 682 = 341 × 2
1 023: indeed, 1 023 = 341 × 3
1 364: indeed, 1 364 = 341 × 4
1 705: indeed, 1 705 = 341 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 341). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 18.466). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 341

Preceding numbers: …339, 340
Following numbers: 342, 343…

Nearest numbers from 341

Preceding prime number: 337
Following prime number: 347