Is 788 a prime number?

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

For 788, the answer is: No, 788 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 788) is as follows: 1, 2, 4, 197, 394, 788.

For 788 to be a prime number, it would have been required that 788 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

788 is a multiple of 1
788 is a multiple of 2
788 is a multiple of 4
788 is a multiple of 197
788 is a multiple of 394

For 788 to be a prime number, it would have been required that 788 has only two divisors, i.e., itself and 1.

Is 788 a deficient number?

Yes, 788 is a deficient number, that is to say 788 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 788 without 788 itself (that is 1 + 2 + 4 + 197 + 394 = 598).

Parity of 788

788 is an even number, because it is evenly divisible by 2: 788 / 2 = 394.

Find out more:

What is an even number?

Is 788 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 788 is about 28.071.

Thus, the square root of 788 is not an integer, and therefore 788 is not a square number.

What is the square number of 788?

The square of a number (here 788) is the result of the product of this number (788) by itself (i.e., 788 × 788); the square of 788 is sometimes called "raising 788 to the power 2", or "788 squared".

The square of 788 is 620 944 because 788 × 788 = 788² = 620 944.

As a consequence, 788 is the square root of 620 944.

Number of digits of 788

788 is a number with 3 digits.

What are the multiples of 788?

The multiples of 788 are all integers evenly divisible by 788, that is all numbers such that the remainder of the division by 788 is zero. There are infinitely many multiples of 788. The smallest multiples of 788 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 788 too, since 0 × 788 = 0
788: indeed, 788 is a multiple of itself, since 788 is evenly divisible by 788 (we have 788 / 788 = 1, so the remainder of this division is indeed zero)
1 576: indeed, 1 576 = 788 × 2
2 364: indeed, 2 364 = 788 × 3
3 152: indeed, 3 152 = 788 × 4
3 940: indeed, 3 940 = 788 × 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 788). 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 28.071). 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 788

Preceding numbers: …786, 787
Following numbers: 789, 790…

Nearest numbers from 788

Preceding prime number: 787
Following prime number: 797