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267is an odd number,as it is not divisible by 2
The factors for 267 are all the numbers between -267 and 267 , which divide 267 without leaving any remainder. Since 267 divided by -267 is an integer, -267 is a factor of 267 .
Since 267 divided by -267 is a whole number, -267 is a factor of 267
Since 267 divided by -89 is a whole number, -89 is a factor of 267
Since 267 divided by -3 is a whole number, -3 is a factor of 267
Since 267 divided by -1 is a whole number, -1 is a factor of 267
Since 267 divided by 1 is a whole number, 1 is a factor of 267
Since 267 divided by 3 is a whole number, 3 is a factor of 267
Since 267 divided by 89 is a whole number, 89 is a factor of 267
Multiples of 267 are all integers divisible by 267 , i.e. the remainder of the full division by 267 is zero. There are infinite multiples of 267. The smallest multiples of 267 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 267 since 0 × 267 = 0
267 : in fact, 267 is a multiple of itself, since 267 is divisible by 267 (it was 267 / 267 = 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 267, the answer is: No, 267 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 267). 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 16.34 ). 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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