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In addition we can say of the number **402 that it is even**

402 is an even number, as it is divisible by 2 : 402/2 = 201

The factors for 402 are all the numbers between -402 and 402 , which divide 402 without leaving any remainder. Since 402 divided by -402 is an integer, -402 is a factor of 402 .

Since 402 divided by -402 is a whole number, -402 is a factor of 402

Since 402 divided by -201 is a whole number, -201 is a factor of 402

Since 402 divided by -134 is a whole number, -134 is a factor of 402

Since 402 divided by -67 is a whole number, -67 is a factor of 402

Since 402 divided by -6 is a whole number, -6 is a factor of 402

Since 402 divided by -3 is a whole number, -3 is a factor of 402

Since 402 divided by -2 is a whole number, -2 is a factor of 402

Since 402 divided by -1 is a whole number, -1 is a factor of 402

Since 402 divided by 1 is a whole number, 1 is a factor of 402

Since 402 divided by 2 is a whole number, 2 is a factor of 402

Since 402 divided by 3 is a whole number, 3 is a factor of 402

Since 402 divided by 6 is a whole number, 6 is a factor of 402

Since 402 divided by 67 is a whole number, 67 is a factor of 402

Since 402 divided by 134 is a whole number, 134 is a factor of 402

Since 402 divided by 201 is a whole number, 201 is a factor of 402

Multiples of 402 are all integers divisible by 402 , i.e. the remainder of the full division by 402 is zero. There are infinite multiples of 402. The smallest multiples of 402 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 402 since 0 × 402 = 0

402 : in fact, 402 is a multiple of itself, since 402 is divisible by 402 (it was 402 / 402 = 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 402, the answer is:
**No, 402 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 402). 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 20.05 ). 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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