Is 718 a prime number?

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

For 718, the answer is: No, 718 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 718) is as follows: 1, 2, 359, 718.

For 718 to be a prime number, it would have been required that 718 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

718 is a multiple of 1
718 is a multiple of 2
718 is a multiple of 359

For 718 to be a prime number, it would have been required that 718 has only two divisors, i.e., itself and 1.

However, 718 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 718 = 2 x 359, where 2 and 359 are both prime numbers.

Is 718 a deficient number?

Yes, 718 is a deficient number, that is to say 718 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 718 without 718 itself (that is 1 + 2 + 359 = 362).

Parity of 718

718 is an even number, because it is evenly divisible by 2: 718 / 2 = 359.

Find out more:

What is an even number?

Is 718 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 718 is about 26.796.

Thus, the square root of 718 is not an integer, and therefore 718 is not a square number.

What is the square number of 718?

The square of a number (here 718) is the result of the product of this number (718) by itself (i.e., 718 × 718); the square of 718 is sometimes called "raising 718 to the power 2", or "718 squared".

The square of 718 is 515 524 because 718 × 718 = 718² = 515 524.

As a consequence, 718 is the square root of 515 524.

Number of digits of 718

718 is a number with 3 digits.

What are the multiples of 718?

The multiples of 718 are all integers evenly divisible by 718, that is all numbers such that the remainder of the division by 718 is zero. There are infinitely many multiples of 718. The smallest multiples of 718 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 718 too, since 0 × 718 = 0
718: indeed, 718 is a multiple of itself, since 718 is evenly divisible by 718 (we have 718 / 718 = 1, so the remainder of this division is indeed zero)
1 436: indeed, 1 436 = 718 × 2
2 154: indeed, 2 154 = 718 × 3
2 872: indeed, 2 872 = 718 × 4
3 590: indeed, 3 590 = 718 × 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 718). 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 26.796). 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 718

Preceding numbers: …716, 717
Following numbers: 719, 720…

Nearest numbers from 718

Preceding prime number: 709
Following prime number: 719