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365is an odd number,as it is not divisible by 2
The factors for 365 are all the numbers between -365 and 365 , which divide 365 without leaving any remainder. Since 365 divided by -365 is an integer, -365 is a factor of 365 .
Since 365 divided by -365 is a whole number, -365 is a factor of 365
Since 365 divided by -73 is a whole number, -73 is a factor of 365
Since 365 divided by -5 is a whole number, -5 is a factor of 365
Since 365 divided by -1 is a whole number, -1 is a factor of 365
Since 365 divided by 1 is a whole number, 1 is a factor of 365
Since 365 divided by 5 is a whole number, 5 is a factor of 365
Since 365 divided by 73 is a whole number, 73 is a factor of 365
Multiples of 365 are all integers divisible by 365 , i.e. the remainder of the full division by 365 is zero. There are infinite multiples of 365. The smallest multiples of 365 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 365 since 0 × 365 = 0
365 : in fact, 365 is a multiple of itself, since 365 is divisible by 365 (it was 365 / 365 = 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 365, the answer is: No, 365 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 365). 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 19.105 ). 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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