In addition we can say of the number 9704 that it is even
9704 is an even number, as it is divisible by 2 : 9704/2 = 4852
The factors for 9704 are all the numbers between -9704 and 9704 , which divide 9704 without leaving any remainder. Since 9704 divided by -9704 is an integer, -9704 is a factor of 9704 .
Since 9704 divided by -9704 is a whole number, -9704 is a factor of 9704
Since 9704 divided by -4852 is a whole number, -4852 is a factor of 9704
Since 9704 divided by -2426 is a whole number, -2426 is a factor of 9704
Since 9704 divided by -1213 is a whole number, -1213 is a factor of 9704
Since 9704 divided by -8 is a whole number, -8 is a factor of 9704
Since 9704 divided by -4 is a whole number, -4 is a factor of 9704
Since 9704 divided by -2 is a whole number, -2 is a factor of 9704
Since 9704 divided by -1 is a whole number, -1 is a factor of 9704
Since 9704 divided by 1 is a whole number, 1 is a factor of 9704
Since 9704 divided by 2 is a whole number, 2 is a factor of 9704
Since 9704 divided by 4 is a whole number, 4 is a factor of 9704
Since 9704 divided by 8 is a whole number, 8 is a factor of 9704
Since 9704 divided by 1213 is a whole number, 1213 is a factor of 9704
Since 9704 divided by 2426 is a whole number, 2426 is a factor of 9704
Since 9704 divided by 4852 is a whole number, 4852 is a factor of 9704
Multiples of 9704 are all integers divisible by 9704 , i.e. the remainder of the full division by 9704 is zero. There are infinite multiples of 9704. The smallest multiples of 9704 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9704 since 0 × 9704 = 0
9704 : in fact, 9704 is a multiple of itself, since 9704 is divisible by 9704 (it was 9704 / 9704 = 1, so the rest of this division is zero)
19408: in fact, 19408 = 9704 × 2
29112: in fact, 29112 = 9704 × 3
38816: in fact, 38816 = 9704 × 4
48520: in fact, 48520 = 9704 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 9704, the answer is: No, 9704 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 9704). 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 98.509 ). 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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