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**3625is an odd number**,as it is not divisible by 2

The factors for 3625 are all the numbers between -3625 and 3625 , which divide 3625 without leaving any remainder. Since 3625 divided by -3625 is an integer, -3625 is a factor of 3625 .

Since 3625 divided by -3625 is a whole number, -3625 is a factor of 3625

Since 3625 divided by -725 is a whole number, -725 is a factor of 3625

Since 3625 divided by -145 is a whole number, -145 is a factor of 3625

Since 3625 divided by -125 is a whole number, -125 is a factor of 3625

Since 3625 divided by -29 is a whole number, -29 is a factor of 3625

Since 3625 divided by -25 is a whole number, -25 is a factor of 3625

Since 3625 divided by -5 is a whole number, -5 is a factor of 3625

Since 3625 divided by -1 is a whole number, -1 is a factor of 3625

Since 3625 divided by 1 is a whole number, 1 is a factor of 3625

Since 3625 divided by 5 is a whole number, 5 is a factor of 3625

Since 3625 divided by 25 is a whole number, 25 is a factor of 3625

Since 3625 divided by 29 is a whole number, 29 is a factor of 3625

Since 3625 divided by 125 is a whole number, 125 is a factor of 3625

Since 3625 divided by 145 is a whole number, 145 is a factor of 3625

Since 3625 divided by 725 is a whole number, 725 is a factor of 3625

Multiples of 3625 are all integers divisible by 3625 , i.e. the remainder of the full division by 3625 is zero. There are infinite multiples of 3625. The smallest multiples of 3625 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3625 since 0 × 3625 = 0

3625 : in fact, 3625 is a multiple of itself, since 3625 is divisible by 3625 (it was 3625 / 3625 = 1, so the rest of this division is zero)

7250: in fact, 7250 = 3625 × 2

10875: in fact, 10875 = 3625 × 3

14500: in fact, 14500 = 3625 × 4

18125: in fact, 18125 = 3625 × 5

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 3625, the answer is:
**No, 3625 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 3625). 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 60.208 ). 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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