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5437is an odd number,as it is not divisible by 2
The factors for 5437 are all the numbers between -5437 and 5437 , which divide 5437 without leaving any remainder. Since 5437 divided by -5437 is an integer, -5437 is a factor of 5437 .
Since 5437 divided by -5437 is a whole number, -5437 is a factor of 5437
Since 5437 divided by -1 is a whole number, -1 is a factor of 5437
Since 5437 divided by 1 is a whole number, 1 is a factor of 5437
Multiples of 5437 are all integers divisible by 5437 , i.e. the remainder of the full division by 5437 is zero. There are infinite multiples of 5437. The smallest multiples of 5437 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5437 since 0 × 5437 = 0
5437 : in fact, 5437 is a multiple of itself, since 5437 is divisible by 5437 (it was 5437 / 5437 = 1, so the rest of this division is zero)
10874: in fact, 10874 = 5437 × 2
16311: in fact, 16311 = 5437 × 3
21748: in fact, 21748 = 5437 × 4
27185: in fact, 27185 = 5437 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5437, the answer is: yes, 5437 is a prime number because it only has two different divisors: 1 and itself (5437).
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 5437). 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 73.736 ). 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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