137737is an odd number,as it is not divisible by 2
The factors for 137737 are all the numbers between -137737 and 137737 , which divide 137737 without leaving any remainder. Since 137737 divided by -137737 is an integer, -137737 is a factor of 137737 .
Since 137737 divided by -137737 is a whole number, -137737 is a factor of 137737
Since 137737 divided by -1 is a whole number, -1 is a factor of 137737
Since 137737 divided by 1 is a whole number, 1 is a factor of 137737
Multiples of 137737 are all integers divisible by 137737 , i.e. the remainder of the full division by 137737 is zero. There are infinite multiples of 137737. The smallest multiples of 137737 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137737 since 0 × 137737 = 0
137737 : in fact, 137737 is a multiple of itself, since 137737 is divisible by 137737 (it was 137737 / 137737 = 1, so the rest of this division is zero)
275474: in fact, 275474 = 137737 × 2
413211: in fact, 413211 = 137737 × 3
550948: in fact, 550948 = 137737 × 4
688685: in fact, 688685 = 137737 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137737, the answer is: yes, 137737 is a prime number because it only has two different divisors: 1 and itself (137737).
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 137737). 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 371.129 ). 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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