137743is an odd number,as it is not divisible by 2
The factors for 137743 are all the numbers between -137743 and 137743 , which divide 137743 without leaving any remainder. Since 137743 divided by -137743 is an integer, -137743 is a factor of 137743 .
Since 137743 divided by -137743 is a whole number, -137743 is a factor of 137743
Since 137743 divided by -1 is a whole number, -1 is a factor of 137743
Since 137743 divided by 1 is a whole number, 1 is a factor of 137743
Multiples of 137743 are all integers divisible by 137743 , i.e. the remainder of the full division by 137743 is zero. There are infinite multiples of 137743. The smallest multiples of 137743 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137743 since 0 × 137743 = 0
137743 : in fact, 137743 is a multiple of itself, since 137743 is divisible by 137743 (it was 137743 / 137743 = 1, so the rest of this division is zero)
275486: in fact, 275486 = 137743 × 2
413229: in fact, 413229 = 137743 × 3
550972: in fact, 550972 = 137743 × 4
688715: in fact, 688715 = 137743 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137743, the answer is: yes, 137743 is a prime number because it only has two different divisors: 1 and itself (137743).
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 137743). 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 371.137 ). 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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