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201is an odd number,as it is not divisible by 2
The factors for 201 are all the numbers between -201 and 201 , which divide 201 without leaving any remainder. Since 201 divided by -201 is an integer, -201 is a factor of 201 .
Since 201 divided by -201 is a whole number, -201 is a factor of 201
Since 201 divided by -67 is a whole number, -67 is a factor of 201
Since 201 divided by -3 is a whole number, -3 is a factor of 201
Since 201 divided by -1 is a whole number, -1 is a factor of 201
Since 201 divided by 1 is a whole number, 1 is a factor of 201
Since 201 divided by 3 is a whole number, 3 is a factor of 201
Since 201 divided by 67 is a whole number, 67 is a factor of 201
Multiples of 201 are all integers divisible by 201 , i.e. the remainder of the full division by 201 is zero. There are infinite multiples of 201. The smallest multiples of 201 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 201 since 0 × 201 = 0
201 : in fact, 201 is a multiple of itself, since 201 is divisible by 201 (it was 201 / 201 = 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 201, the answer is: No, 201 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 201). 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 14.177 ). 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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