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In addition we can say of the number 1402 that it is even
1402 is an even number, as it is divisible by 2 : 1402/2 = 701
The factors for 1402 are all the numbers between -1402 and 1402 , which divide 1402 without leaving any remainder. Since 1402 divided by -1402 is an integer, -1402 is a factor of 1402 .
Since 1402 divided by -1402 is a whole number, -1402 is a factor of 1402
Since 1402 divided by -701 is a whole number, -701 is a factor of 1402
Since 1402 divided by -2 is a whole number, -2 is a factor of 1402
Since 1402 divided by -1 is a whole number, -1 is a factor of 1402
Since 1402 divided by 1 is a whole number, 1 is a factor of 1402
Since 1402 divided by 2 is a whole number, 2 is a factor of 1402
Since 1402 divided by 701 is a whole number, 701 is a factor of 1402
Multiples of 1402 are all integers divisible by 1402 , i.e. the remainder of the full division by 1402 is zero. There are infinite multiples of 1402. The smallest multiples of 1402 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1402 since 0 × 1402 = 0
1402 : in fact, 1402 is a multiple of itself, since 1402 is divisible by 1402 (it was 1402 / 1402 = 1, so the rest of this division is zero)
2804: in fact, 2804 = 1402 × 2
4206: in fact, 4206 = 1402 × 3
5608: in fact, 5608 = 1402 × 4
7010: in fact, 7010 = 1402 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1402, the answer is: No, 1402 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 1402). 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 37.443 ). 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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