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**189is an odd number**,as it is not divisible by 2

The factors for 189 are all the numbers between -189 and 189 , which divide 189 without leaving any remainder. Since 189 divided by -189 is an integer, -189 is a factor of 189 .

Since 189 divided by -189 is a whole number, -189 is a factor of 189

Since 189 divided by -63 is a whole number, -63 is a factor of 189

Since 189 divided by -27 is a whole number, -27 is a factor of 189

Since 189 divided by -21 is a whole number, -21 is a factor of 189

Since 189 divided by -9 is a whole number, -9 is a factor of 189

Since 189 divided by -7 is a whole number, -7 is a factor of 189

Since 189 divided by -3 is a whole number, -3 is a factor of 189

Since 189 divided by -1 is a whole number, -1 is a factor of 189

Since 189 divided by 1 is a whole number, 1 is a factor of 189

Since 189 divided by 3 is a whole number, 3 is a factor of 189

Since 189 divided by 7 is a whole number, 7 is a factor of 189

Since 189 divided by 9 is a whole number, 9 is a factor of 189

Since 189 divided by 21 is a whole number, 21 is a factor of 189

Since 189 divided by 27 is a whole number, 27 is a factor of 189

Since 189 divided by 63 is a whole number, 63 is a factor of 189

Multiples of 189 are all integers divisible by 189 , i.e. the remainder of the full division by 189 is zero. There are infinite multiples of 189. The smallest multiples of 189 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 189 since 0 × 189 = 0

189 : in fact, 189 is a multiple of itself, since 189 is divisible by 189 (it was 189 / 189 = 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 189, the answer is:
**No, 189 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 189). 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 13.748 ). 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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