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In addition we can say of the number **946 that it is even**

946 is an even number, as it is divisible by 2 : 946/2 = 473

The factors for 946 are all the numbers between -946 and 946 , which divide 946 without leaving any remainder. Since 946 divided by -946 is an integer, -946 is a factor of 946 .

Since 946 divided by -946 is a whole number, -946 is a factor of 946

Since 946 divided by -473 is a whole number, -473 is a factor of 946

Since 946 divided by -86 is a whole number, -86 is a factor of 946

Since 946 divided by -43 is a whole number, -43 is a factor of 946

Since 946 divided by -22 is a whole number, -22 is a factor of 946

Since 946 divided by -11 is a whole number, -11 is a factor of 946

Since 946 divided by -2 is a whole number, -2 is a factor of 946

Since 946 divided by -1 is a whole number, -1 is a factor of 946

Since 946 divided by 1 is a whole number, 1 is a factor of 946

Since 946 divided by 2 is a whole number, 2 is a factor of 946

Since 946 divided by 11 is a whole number, 11 is a factor of 946

Since 946 divided by 22 is a whole number, 22 is a factor of 946

Since 946 divided by 43 is a whole number, 43 is a factor of 946

Since 946 divided by 86 is a whole number, 86 is a factor of 946

Since 946 divided by 473 is a whole number, 473 is a factor of 946

Multiples of 946 are all integers divisible by 946 , i.e. the remainder of the full division by 946 is zero. There are infinite multiples of 946. The smallest multiples of 946 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 946 since 0 × 946 = 0

946 : in fact, 946 is a multiple of itself, since 946 is divisible by 946 (it was 946 / 946 = 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 946, the answer is:
**No, 946 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 946). 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 30.757 ). 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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