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