125is an odd number,as it is not divisible by 2
The factors for 125 are all the numbers between -125 and 125 , which divide 125 without leaving any remainder. Since 125 divided by -125 is an integer, -125 is a factor of 125 .
Since 125 divided by -125 is a whole number, -125 is a factor of 125
Since 125 divided by -25 is a whole number, -25 is a factor of 125
Since 125 divided by -5 is a whole number, -5 is a factor of 125
Since 125 divided by -1 is a whole number, -1 is a factor of 125
Since 125 divided by 1 is a whole number, 1 is a factor of 125
Since 125 divided by 5 is a whole number, 5 is a factor of 125
Since 125 divided by 25 is a whole number, 25 is a factor of 125
Multiples of 125 are all integers divisible by 125 , i.e. the remainder of the full division by 125 is zero. There are infinite multiples of 125. The smallest multiples of 125 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 125 since 0 × 125 = 0
125 : in fact, 125 is a multiple of itself, since 125 is divisible by 125 (it was 125 / 125 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 125, the answer is: No, 125 is not a prime number.
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 125). 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 11.18 ). 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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