137957is an odd number,as it is not divisible by 2
The factors for 137957 are all the numbers between -137957 and 137957 , which divide 137957 without leaving any remainder. Since 137957 divided by -137957 is an integer, -137957 is a factor of 137957 .
Since 137957 divided by -137957 is a whole number, -137957 is a factor of 137957
Since 137957 divided by -1 is a whole number, -1 is a factor of 137957
Since 137957 divided by 1 is a whole number, 1 is a factor of 137957
Multiples of 137957 are all integers divisible by 137957 , i.e. the remainder of the full division by 137957 is zero. There are infinite multiples of 137957. The smallest multiples of 137957 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137957 since 0 × 137957 = 0
137957 : in fact, 137957 is a multiple of itself, since 137957 is divisible by 137957 (it was 137957 / 137957 = 1, so the rest of this division is zero)
275914: in fact, 275914 = 137957 × 2
413871: in fact, 413871 = 137957 × 3
551828: in fact, 551828 = 137957 × 4
689785: in fact, 689785 = 137957 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137957, the answer is: yes, 137957 is a prime number because it only has two different divisors: 1 and itself (137957).
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 137957). 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 371.426 ). 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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