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**759is an odd number**,as it is not divisible by 2

The factors for 759 are all the numbers between -759 and 759 , which divide 759 without leaving any remainder. Since 759 divided by -759 is an integer, -759 is a factor of 759 .

Since 759 divided by -759 is a whole number, -759 is a factor of 759

Since 759 divided by -253 is a whole number, -253 is a factor of 759

Since 759 divided by -69 is a whole number, -69 is a factor of 759

Since 759 divided by -33 is a whole number, -33 is a factor of 759

Since 759 divided by -23 is a whole number, -23 is a factor of 759

Since 759 divided by -11 is a whole number, -11 is a factor of 759

Since 759 divided by -3 is a whole number, -3 is a factor of 759

Since 759 divided by -1 is a whole number, -1 is a factor of 759

Since 759 divided by 1 is a whole number, 1 is a factor of 759

Since 759 divided by 3 is a whole number, 3 is a factor of 759

Since 759 divided by 11 is a whole number, 11 is a factor of 759

Since 759 divided by 23 is a whole number, 23 is a factor of 759

Since 759 divided by 33 is a whole number, 33 is a factor of 759

Since 759 divided by 69 is a whole number, 69 is a factor of 759

Since 759 divided by 253 is a whole number, 253 is a factor of 759

Multiples of 759 are all integers divisible by 759 , i.e. the remainder of the full division by 759 is zero. There are infinite multiples of 759. The smallest multiples of 759 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 759 since 0 × 759 = 0

759 : in fact, 759 is a multiple of itself, since 759 is divisible by 759 (it was 759 / 759 = 1, so the rest of this division is zero)

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

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

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 759). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 27.55 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.

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