Is 14 a prime number? What are the divisors of 14?

Is 14 a prime number?

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

For 14, the answer is: No, 14 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 14) is as follows: 1, 2, 7, 14.

To be 14 a prime number, it would have been required that 14 has only two divisors, i.e., itself and 1.

As a consequence:

  • 14 is a multiple of 1
  • 14 is a multiple of 2
  • 14 is a multiple of 7

To be 14 a prime number, it would have been required that 14 has only two divisors, i.e., itself and 1.

However, 14 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 14 = 2 x 7, where 2 and 7 are both prime numbers.

Is 14 a deficient number?

Yes, 14 is a deficient number, that is to say 14 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 14 without 14 itself (that is 1 + 2 + 7 = 10).

Parity of 14

14 is an even number, because it is evenly divisible by 2: 14 / 2 = 7.

Is 14 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 14 is about 3.742.

Thus, the square root of 14 is not an integer, and therefore 14 is not a square number.

What is the square number of 14?

The square of a number (here 14) is the result of the product of this number (14) by itself (i.e., 14 × 14); the square of 14 is sometimes called "raising 14 to the power 2", or "14 squared".

The square of 14 is 196 because 14 × 14 = 142 = 196.

As a consequence, 14 is the square root of 196.

Number of digits of 14

14 is a number with 2 digits.

What are the multiples of 14?

The multiples of 14 are all integers evenly divisible by 14, that is all numbers such that the remainder of the division by 14 is zero. There are infinitely many multiples of 14. The smallest multiples of 14 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 14 too, since 0 × 14 = 0
  • 14: indeed, 14 is a multiple of itself, since 14 is evenly divisible by 14 (we have 14 / 14 = 1, so the remainder of this division is indeed zero)
  • 28: indeed, 28 = 14 × 2
  • 42: indeed, 42 = 14 × 3
  • 56: indeed, 56 = 14 × 4
  • 70: indeed, 70 = 14 × 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 14). 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 3.742). 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 14

  • Preceding numbers: …12, 13
  • Following numbers: 15, 16

Nearest numbers from 14

  • Preceding prime number: 13
  • Following prime number: 17
Find out whether some integer is a prime number