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In addition we can say of the number 772 that it is even
772 is an even number, as it is divisible by 2 : 772/2 = 386
The factors for 772 are all the numbers between -772 and 772 , which divide 772 without leaving any remainder. Since 772 divided by -772 is an integer, -772 is a factor of 772 .
Since 772 divided by -772 is a whole number, -772 is a factor of 772
Since 772 divided by -386 is a whole number, -386 is a factor of 772
Since 772 divided by -193 is a whole number, -193 is a factor of 772
Since 772 divided by -4 is a whole number, -4 is a factor of 772
Since 772 divided by -2 is a whole number, -2 is a factor of 772
Since 772 divided by -1 is a whole number, -1 is a factor of 772
Since 772 divided by 1 is a whole number, 1 is a factor of 772
Since 772 divided by 2 is a whole number, 2 is a factor of 772
Since 772 divided by 4 is a whole number, 4 is a factor of 772
Since 772 divided by 193 is a whole number, 193 is a factor of 772
Since 772 divided by 386 is a whole number, 386 is a factor of 772
Multiples of 772 are all integers divisible by 772 , i.e. the remainder of the full division by 772 is zero. There are infinite multiples of 772. The smallest multiples of 772 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 772 since 0 × 772 = 0
772 : in fact, 772 is a multiple of itself, since 772 is divisible by 772 (it was 772 / 772 = 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 772, the answer is: No, 772 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 772). 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 27.785 ). 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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