367is an odd number,as it is not divisible by 2
The factors for 367 are all the numbers between -367 and 367 , which divide 367 without leaving any remainder. Since 367 divided by -367 is an integer, -367 is a factor of 367 .
Since 367 divided by -367 is a whole number, -367 is a factor of 367
Since 367 divided by -1 is a whole number, -1 is a factor of 367
Since 367 divided by 1 is a whole number, 1 is a factor of 367
Multiples of 367 are all integers divisible by 367 , i.e. the remainder of the full division by 367 is zero. There are infinite multiples of 367. The smallest multiples of 367 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 367 since 0 × 367 = 0
367 : in fact, 367 is a multiple of itself, since 367 is divisible by 367 (it was 367 / 367 = 1, so the rest of this division is zero)
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 367, the answer is: yes, 367 is a prime number because it only has two different divisors: 1 and itself (367).
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 367). 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 19.157 ). 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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