137507is an odd number,as it is not divisible by 2
The factors for 137507 are all the numbers between -137507 and 137507 , which divide 137507 without leaving any remainder. Since 137507 divided by -137507 is an integer, -137507 is a factor of 137507 .
Since 137507 divided by -137507 is a whole number, -137507 is a factor of 137507
Since 137507 divided by -1 is a whole number, -1 is a factor of 137507
Since 137507 divided by 1 is a whole number, 1 is a factor of 137507
Multiples of 137507 are all integers divisible by 137507 , i.e. the remainder of the full division by 137507 is zero. There are infinite multiples of 137507. The smallest multiples of 137507 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 137507 since 0 × 137507 = 0
137507 : in fact, 137507 is a multiple of itself, since 137507 is divisible by 137507 (it was 137507 / 137507 = 1, so the rest of this division is zero)
275014: in fact, 275014 = 137507 × 2
412521: in fact, 412521 = 137507 × 3
550028: in fact, 550028 = 137507 × 4
687535: in fact, 687535 = 137507 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 137507, the answer is: yes, 137507 is a prime number because it only has two different divisors: 1 and itself (137507).
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 137507). 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 370.819 ). 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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