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In addition we can say of the number 2402 that it is even
2402 is an even number, as it is divisible by 2 : 2402/2 = 1201
The factors for 2402 are all the numbers between -2402 and 2402 , which divide 2402 without leaving any remainder. Since 2402 divided by -2402 is an integer, -2402 is a factor of 2402 .
Since 2402 divided by -2402 is a whole number, -2402 is a factor of 2402
Since 2402 divided by -1201 is a whole number, -1201 is a factor of 2402
Since 2402 divided by -2 is a whole number, -2 is a factor of 2402
Since 2402 divided by -1 is a whole number, -1 is a factor of 2402
Since 2402 divided by 1 is a whole number, 1 is a factor of 2402
Since 2402 divided by 2 is a whole number, 2 is a factor of 2402
Since 2402 divided by 1201 is a whole number, 1201 is a factor of 2402
Multiples of 2402 are all integers divisible by 2402 , i.e. the remainder of the full division by 2402 is zero. There are infinite multiples of 2402. The smallest multiples of 2402 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2402 since 0 × 2402 = 0
2402 : in fact, 2402 is a multiple of itself, since 2402 is divisible by 2402 (it was 2402 / 2402 = 1, so the rest of this division is zero)
4804: in fact, 4804 = 2402 × 2
7206: in fact, 7206 = 2402 × 3
9608: in fact, 9608 = 2402 × 4
12010: in fact, 12010 = 2402 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2402, the answer is: No, 2402 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 2402). 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 49.01 ). 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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