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773is an odd number,as it is not divisible by 2
The factors for 773 are all the numbers between -773 and 773 , which divide 773 without leaving any remainder. Since 773 divided by -773 is an integer, -773 is a factor of 773 .
Since 773 divided by -773 is a whole number, -773 is a factor of 773
Since 773 divided by -1 is a whole number, -1 is a factor of 773
Since 773 divided by 1 is a whole number, 1 is a factor of 773
Multiples of 773 are all integers divisible by 773 , i.e. the remainder of the full division by 773 is zero. There are infinite multiples of 773. The smallest multiples of 773 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 773 since 0 × 773 = 0
773 : in fact, 773 is a multiple of itself, since 773 is divisible by 773 (it was 773 / 773 = 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 773, the answer is: yes, 773 is a prime number because it only has two different divisors: 1 and itself (773).
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 773). 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 27.803 ). 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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