Is 719 a prime number?

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

Find out more:

• What is an even 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 719 is about 26.814.

Thus, the square root of 719 is not an integer, and therefore 719 is not a square number.

Anyway, 719 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 719) is the result of the product of this number (719) by itself (i.e., 719 × 719); the square of 719 is sometimes called "raising 719 to the power 2", or "719 squared".

The square of 719 is 516 961 because 719 × 719 = 719² = 516 961.

As a consequence, 719 is the square root of 516 961.

719 is a number with 3 digits.

The multiples of 719 are all integers evenly divisible by 719, that is all numbers such that the remainder of the division by 719 is zero. There are infinitely many multiples of 719. The smallest multiples of 719 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 719 too, since 0 × 719 = 0
• 719: indeed, 719 is a multiple of itself, since 719 is evenly divisible by 719 (we have 719 / 719 = 1, so the remainder of this division is indeed zero)
• 1 438: indeed, 1 438 = 719 × 2
• 2 157: indeed, 2 157 = 719 × 3
• 2 876: indeed, 2 876 = 719 × 4
• 3 595: indeed, 3 595 = 719 × 5
• etc.

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 719). 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 26.814). 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.

• Preceding numbers: …717, 718
• Following numbers: 720, 721…

Nearest numbers from 719

• Preceding prime number: 709
• Following prime number: 727

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• 719 est-il un nombre premier ?