Is 759 a prime number?

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

For 759, the answer is: No, 759 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 759) is as follows: 1, 3, 11, 23, 33, 69, 253, 759.

For 759 to be a prime number, it would have been required that 759 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

759 is a multiple of 1
759 is a multiple of 3
759 is a multiple of 11
759 is a multiple of 23
759 is a multiple of 33
759 is a multiple of 69
759 is a multiple of 253

For 759 to be a prime number, it would have been required that 759 has only two divisors, i.e., itself and 1.

Is 759 a deficient number?

Yes, 759 is a deficient number, that is to say 759 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 759 without 759 itself (that is 1 + 3 + 11 + 23 + 33 + 69 + 253 = 393).

Parity of 759

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

Find out more:

What is an even number?

Is 759 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 759 is about 27.550.

Thus, the square root of 759 is not an integer, and therefore 759 is not a square number.

What is the square number of 759?

The square of a number (here 759) is the result of the product of this number (759) by itself (i.e., 759 × 759); the square of 759 is sometimes called "raising 759 to the power 2", or "759 squared".

The square of 759 is 576 081 because 759 × 759 = 759² = 576 081.

As a consequence, 759 is the square root of 576 081.

Number of digits of 759

759 is a number with 3 digits.

What are the multiples of 759?

The multiples of 759 are all integers evenly divisible by 759, that is all numbers such that the remainder of the division by 759 is zero. There are infinitely many multiples of 759. The smallest multiples of 759 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 759 too, since 0 × 759 = 0
759: indeed, 759 is a multiple of itself, since 759 is evenly divisible by 759 (we have 759 / 759 = 1, so the remainder of this division is indeed zero)
1 518: indeed, 1 518 = 759 × 2
2 277: indeed, 2 277 = 759 × 3
3 036: indeed, 3 036 = 759 × 4
3 795: indeed, 3 795 = 759 × 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 759). 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 27.550). 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 759

Preceding numbers: …757, 758
Following numbers: 760, 761…

Nearest numbers from 759

Preceding prime number: 757
Following prime number: 761