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739is an odd number,as it is not divisible by 2
The factors for 739 are all the numbers between -739 and 739 , which divide 739 without leaving any remainder. Since 739 divided by -739 is an integer, -739 is a factor of 739 .
Since 739 divided by -739 is a whole number, -739 is a factor of 739
Since 739 divided by -1 is a whole number, -1 is a factor of 739
Since 739 divided by 1 is a whole number, 1 is a factor of 739
Multiples of 739 are all integers divisible by 739 , i.e. the remainder of the full division by 739 is zero. There are infinite multiples of 739. The smallest multiples of 739 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 739 since 0 × 739 = 0
739 : in fact, 739 is a multiple of itself, since 739 is divisible by 739 (it was 739 / 739 = 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 739, the answer is: yes, 739 is a prime number because it only has two different divisors: 1 and itself (739).
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 739). 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 27.185 ). 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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