37423is an odd number,as it is not divisible by 2
The factors for 37423 are all the numbers between -37423 and 37423 , which divide 37423 without leaving any remainder. Since 37423 divided by -37423 is an integer, -37423 is a factor of 37423 .
Since 37423 divided by -37423 is a whole number, -37423 is a factor of 37423
Since 37423 divided by -1 is a whole number, -1 is a factor of 37423
Since 37423 divided by 1 is a whole number, 1 is a factor of 37423
Multiples of 37423 are all integers divisible by 37423 , i.e. the remainder of the full division by 37423 is zero. There are infinite multiples of 37423. The smallest multiples of 37423 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 37423 since 0 × 37423 = 0
37423 : in fact, 37423 is a multiple of itself, since 37423 is divisible by 37423 (it was 37423 / 37423 = 1, so the rest of this division is zero)
74846: in fact, 74846 = 37423 × 2
112269: in fact, 112269 = 37423 × 3
149692: in fact, 149692 = 37423 × 4
187115: in fact, 187115 = 37423 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 37423, the answer is: yes, 37423 is a prime number because it only has two different divisors: 1 and itself (37423).
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 37423). 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 193.45 ). 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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