Is 344 a prime number?

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

For 344, the answer is: No, 344 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 344) is as follows: 1, 2, 4, 8, 43, 86, 172, 344.

For 344 to be a prime number, it would have been required that 344 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

344 is a multiple of 1
344 is a multiple of 2
344 is a multiple of 4
344 is a multiple of 8
344 is a multiple of 43
344 is a multiple of 86
344 is a multiple of 172

For 344 to be a prime number, it would have been required that 344 has only two divisors, i.e., itself and 1.

Is 344 a deficient number?

Yes, 344 is a deficient number, that is to say 344 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 344 without 344 itself (that is 1 + 2 + 4 + 8 + 43 + 86 + 172 = 316).

Parity of 344

344 is an even number, because it is evenly divisible by 2: 344 / 2 = 172.

Find out more:

What is an even number?

Is 344 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 344 is about 18.547.

Thus, the square root of 344 is not an integer, and therefore 344 is not a square number.

What is the square number of 344?

The square of a number (here 344) is the result of the product of this number (344) by itself (i.e., 344 × 344); the square of 344 is sometimes called "raising 344 to the power 2", or "344 squared".

The square of 344 is 118 336 because 344 × 344 = 344² = 118 336.

As a consequence, 344 is the square root of 118 336.

Number of digits of 344

344 is a number with 3 digits.

What are the multiples of 344?

The multiples of 344 are all integers evenly divisible by 344, that is all numbers such that the remainder of the division by 344 is zero. There are infinitely many multiples of 344. The smallest multiples of 344 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 344 too, since 0 × 344 = 0
344: indeed, 344 is a multiple of itself, since 344 is evenly divisible by 344 (we have 344 / 344 = 1, so the remainder of this division is indeed zero)
688: indeed, 688 = 344 × 2
1 032: indeed, 1 032 = 344 × 3
1 376: indeed, 1 376 = 344 × 4
1 720: indeed, 1 720 = 344 × 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 344). 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 18.547). 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 344

Preceding numbers: …342, 343
Following numbers: 345, 346…

Nearest numbers from 344

Preceding prime number: 337
Following prime number: 347