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**273is an odd number**,as it is not divisible by 2

The factors for 273 are all the numbers between -273 and 273 , which divide 273 without leaving any remainder. Since 273 divided by -273 is an integer, -273 is a factor of 273 .

Since 273 divided by -273 is a whole number, -273 is a factor of 273

Since 273 divided by -91 is a whole number, -91 is a factor of 273

Since 273 divided by -39 is a whole number, -39 is a factor of 273

Since 273 divided by -21 is a whole number, -21 is a factor of 273

Since 273 divided by -13 is a whole number, -13 is a factor of 273

Since 273 divided by -7 is a whole number, -7 is a factor of 273

Since 273 divided by -3 is a whole number, -3 is a factor of 273

Since 273 divided by -1 is a whole number, -1 is a factor of 273

Since 273 divided by 1 is a whole number, 1 is a factor of 273

Since 273 divided by 3 is a whole number, 3 is a factor of 273

Since 273 divided by 7 is a whole number, 7 is a factor of 273

Since 273 divided by 13 is a whole number, 13 is a factor of 273

Since 273 divided by 21 is a whole number, 21 is a factor of 273

Since 273 divided by 39 is a whole number, 39 is a factor of 273

Since 273 divided by 91 is a whole number, 91 is a factor of 273

Multiples of 273 are all integers divisible by 273 , i.e. the remainder of the full division by 273 is zero. There are infinite multiples of 273. The smallest multiples of 273 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 273 since 0 × 273 = 0

273 : in fact, 273 is a multiple of itself, since 273 is divisible by 273 (it was 273 / 273 = 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 273, the answer is:
**No, 273 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 273). 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 16.523 ). 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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