Is 716 a prime number? What are the divisors of 716?

Is 716 a prime number?

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

For 716, the answer is: No, 716 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 716) is as follows: 1, 2, 4, 179, 358, 716.

To be 716 a prime number, it would have been required that 716 has only two divisors, i.e., itself and 1.

As a consequence:

  • 716 is a multiple of 1
  • 716 is a multiple of 2
  • 716 is a multiple of 4
  • 716 is a multiple of 179
  • 716 is a multiple of 358

To be 716 a prime number, it would have been required that 716 has only two divisors, i.e., itself and 1.

Is 716 a deficient number?

Yes, 716 is a deficient number, that is to say 716 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 716 without 716 itself (that is 1 + 2 + 4 + 179 + 358 = 544).

Parity of 716

716 is an even number, because it is evenly divisible by 2: 716 / 2 = 358.

Is 716 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 716 is about 26.758.

Thus, the square root of 716 is not an integer, and therefore 716 is not a square number.

What is the square number of 716?

The square of a number (here 716) is the result of the product of this number (716) by itself (i.e., 716 × 716); the square of 716 is sometimes called "raising 716 to the power 2", or "716 squared".

The square of 716 is 512 656 because 716 × 716 = 7162 = 512 656.

As a consequence, 716 is the square root of 512 656.

Number of digits of 716

716 is a number with 3 digits.

What are the multiples of 716?

The multiples of 716 are all integers evenly divisible by 716, that is all numbers such that the remainder of the division by 716 is zero. There are infinitely many multiples of 716. The smallest multiples of 716 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 716 too, since 0 × 716 = 0
  • 716: indeed, 716 is a multiple of itself, since 716 is evenly divisible by 716 (we have 716 / 716 = 1, so the remainder of this division is indeed zero)
  • 1 432: indeed, 1 432 = 716 × 2
  • 2 148: indeed, 2 148 = 716 × 3
  • 2 864: indeed, 2 864 = 716 × 4
  • 3 580: indeed, 3 580 = 716 × 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 716). 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 26.758). 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 716

  • Preceding numbers: …714, 715
  • Following numbers: 717, 718

Nearest numbers from 716

  • Preceding prime number: 709
  • Following prime number: 719
Find out whether some integer is a prime number