Is 764 a prime number?

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

For 764, the answer is: No, 764 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 764) is as follows: 1, 2, 4, 191, 382, 764.

For 764 to be a prime number, it would have been required that 764 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

764 is a multiple of 1
764 is a multiple of 2
764 is a multiple of 4
764 is a multiple of 191
764 is a multiple of 382

For 764 to be a prime number, it would have been required that 764 has only two divisors, i.e., itself and 1.

Is 764 a deficient number?

Yes, 764 is a deficient number, that is to say 764 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 764 without 764 itself (that is 1 + 2 + 4 + 191 + 382 = 580).

Parity of 764

764 is an even number, because it is evenly divisible by 2: 764 / 2 = 382.

Find out more:

What is an even number?

Is 764 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 764 is about 27.641.

Thus, the square root of 764 is not an integer, and therefore 764 is not a square number.

What is the square number of 764?

The square of a number (here 764) is the result of the product of this number (764) by itself (i.e., 764 × 764); the square of 764 is sometimes called "raising 764 to the power 2", or "764 squared".

The square of 764 is 583 696 because 764 × 764 = 764² = 583 696.

As a consequence, 764 is the square root of 583 696.

Number of digits of 764

764 is a number with 3 digits.

What are the multiples of 764?

The multiples of 764 are all integers evenly divisible by 764, that is all numbers such that the remainder of the division by 764 is zero. There are infinitely many multiples of 764. The smallest multiples of 764 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 764 too, since 0 × 764 = 0
764: indeed, 764 is a multiple of itself, since 764 is evenly divisible by 764 (we have 764 / 764 = 1, so the remainder of this division is indeed zero)
1 528: indeed, 1 528 = 764 × 2
2 292: indeed, 2 292 = 764 × 3
3 056: indeed, 3 056 = 764 × 4
3 820: indeed, 3 820 = 764 × 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 764). 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 27.641). 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 764

Preceding numbers: …762, 763
Following numbers: 765, 766…

Nearest numbers from 764

Preceding prime number: 761
Following prime number: 769