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In addition we can say of the number 8402 that it is even
8402 is an even number, as it is divisible by 2 : 8402/2 = 4201
The factors for 8402 are all the numbers between -8402 and 8402 , which divide 8402 without leaving any remainder. Since 8402 divided by -8402 is an integer, -8402 is a factor of 8402 .
Since 8402 divided by -8402 is a whole number, -8402 is a factor of 8402
Since 8402 divided by -4201 is a whole number, -4201 is a factor of 8402
Since 8402 divided by -2 is a whole number, -2 is a factor of 8402
Since 8402 divided by -1 is a whole number, -1 is a factor of 8402
Since 8402 divided by 1 is a whole number, 1 is a factor of 8402
Since 8402 divided by 2 is a whole number, 2 is a factor of 8402
Since 8402 divided by 4201 is a whole number, 4201 is a factor of 8402
Multiples of 8402 are all integers divisible by 8402 , i.e. the remainder of the full division by 8402 is zero. There are infinite multiples of 8402. The smallest multiples of 8402 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 8402 since 0 × 8402 = 0
8402 : in fact, 8402 is a multiple of itself, since 8402 is divisible by 8402 (it was 8402 / 8402 = 1, so the rest of this division is zero)
16804: in fact, 16804 = 8402 × 2
25206: in fact, 25206 = 8402 × 3
33608: in fact, 33608 = 8402 × 4
42010: in fact, 42010 = 8402 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8402, the answer is: No, 8402 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 8402). 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 91.662 ). 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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