37489is an odd number,as it is not divisible by 2
The factors for 37489 are all the numbers between -37489 and 37489 , which divide 37489 without leaving any remainder. Since 37489 divided by -37489 is an integer, -37489 is a factor of 37489 .
Since 37489 divided by -37489 is a whole number, -37489 is a factor of 37489
Since 37489 divided by -1 is a whole number, -1 is a factor of 37489
Since 37489 divided by 1 is a whole number, 1 is a factor of 37489
Multiples of 37489 are all integers divisible by 37489 , i.e. the remainder of the full division by 37489 is zero. There are infinite multiples of 37489. The smallest multiples of 37489 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 37489 since 0 × 37489 = 0
37489 : in fact, 37489 is a multiple of itself, since 37489 is divisible by 37489 (it was 37489 / 37489 = 1, so the rest of this division is zero)
74978: in fact, 74978 = 37489 × 2
112467: in fact, 112467 = 37489 × 3
149956: in fact, 149956 = 37489 × 4
187445: in fact, 187445 = 37489 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 37489, the answer is: yes, 37489 is a prime number because it only has two different divisors: 1 and itself (37489).
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 37489). 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 193.621 ). 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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