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359is an odd number,as it is not divisible by 2
The factors for 359 are all the numbers between -359 and 359 , which divide 359 without leaving any remainder. Since 359 divided by -359 is an integer, -359 is a factor of 359 .
Since 359 divided by -359 is a whole number, -359 is a factor of 359
Since 359 divided by -1 is a whole number, -1 is a factor of 359
Since 359 divided by 1 is a whole number, 1 is a factor of 359
Multiples of 359 are all integers divisible by 359 , i.e. the remainder of the full division by 359 is zero. There are infinite multiples of 359. The smallest multiples of 359 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 359 since 0 × 359 = 0
359 : in fact, 359 is a multiple of itself, since 359 is divisible by 359 (it was 359 / 359 = 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 359, the answer is: yes, 359 is a prime number because it only has two different divisors: 1 and itself (359).
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 359). 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 18.947 ). 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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