Is 334 a prime number?

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

For 334, the answer is: No, 334 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 334) is as follows: 1, 2, 167, 334.

For 334 to be a prime number, it would have been required that 334 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

334 is a multiple of 1
334 is a multiple of 2
334 is a multiple of 167

For 334 to be a prime number, it would have been required that 334 has only two divisors, i.e., itself and 1.

However, 334 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 334 = 2 x 167, where 2 and 167 are both prime numbers.

Is 334 a deficient number?

Yes, 334 is a deficient number, that is to say 334 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 334 without 334 itself (that is 1 + 2 + 167 = 170).

Parity of 334

334 is an even number, because it is evenly divisible by 2: 334 / 2 = 167.

Find out more:

What is an even number?

Is 334 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 334 is about 18.276.

Thus, the square root of 334 is not an integer, and therefore 334 is not a square number.

What is the square number of 334?

The square of a number (here 334) is the result of the product of this number (334) by itself (i.e., 334 × 334); the square of 334 is sometimes called "raising 334 to the power 2", or "334 squared".

The square of 334 is 111 556 because 334 × 334 = 334² = 111 556.

As a consequence, 334 is the square root of 111 556.

Number of digits of 334

334 is a number with 3 digits.

What are the multiples of 334?

The multiples of 334 are all integers evenly divisible by 334, that is all numbers such that the remainder of the division by 334 is zero. There are infinitely many multiples of 334. The smallest multiples of 334 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 334 too, since 0 × 334 = 0
334: indeed, 334 is a multiple of itself, since 334 is evenly divisible by 334 (we have 334 / 334 = 1, so the remainder of this division is indeed zero)
668: indeed, 668 = 334 × 2
1 002: indeed, 1 002 = 334 × 3
1 336: indeed, 1 336 = 334 × 4
1 670: indeed, 1 670 = 334 × 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 334). 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 18.276). 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 334

Preceding numbers: …332, 333
Following numbers: 335, 336…

Nearest numbers from 334

Preceding prime number: 331
Following prime number: 337