137723is an odd number,as it is not divisible by 2
The factors for 137723 are all the numbers between -137723 and 137723 , which divide 137723 without leaving any remainder. Since 137723 divided by -137723 is an integer, -137723 is a factor of 137723 .
Since 137723 divided by -137723 is a whole number, -137723 is a factor of 137723
Since 137723 divided by -1 is a whole number, -1 is a factor of 137723
Since 137723 divided by 1 is a whole number, 1 is a factor of 137723
Multiples of 137723 are all integers divisible by 137723 , i.e. the remainder of the full division by 137723 is zero. There are infinite multiples of 137723. The smallest multiples of 137723 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137723 since 0 × 137723 = 0
137723 : in fact, 137723 is a multiple of itself, since 137723 is divisible by 137723 (it was 137723 / 137723 = 1, so the rest of this division is zero)
275446: in fact, 275446 = 137723 × 2
413169: in fact, 413169 = 137723 × 3
550892: in fact, 550892 = 137723 × 4
688615: in fact, 688615 = 137723 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137723, the answer is: yes, 137723 is a prime number because it only has two different divisors: 1 and itself (137723).
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 137723). 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 371.11 ). 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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