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**1695is an odd number**,as it is not divisible by 2

The factors for 1695 are all the numbers between -1695 and 1695 , which divide 1695 without leaving any remainder. Since 1695 divided by -1695 is an integer, -1695 is a factor of 1695 .

Since 1695 divided by -1695 is a whole number, -1695 is a factor of 1695

Since 1695 divided by -565 is a whole number, -565 is a factor of 1695

Since 1695 divided by -339 is a whole number, -339 is a factor of 1695

Since 1695 divided by -113 is a whole number, -113 is a factor of 1695

Since 1695 divided by -15 is a whole number, -15 is a factor of 1695

Since 1695 divided by -5 is a whole number, -5 is a factor of 1695

Since 1695 divided by -3 is a whole number, -3 is a factor of 1695

Since 1695 divided by -1 is a whole number, -1 is a factor of 1695

Since 1695 divided by 1 is a whole number, 1 is a factor of 1695

Since 1695 divided by 3 is a whole number, 3 is a factor of 1695

Since 1695 divided by 5 is a whole number, 5 is a factor of 1695

Since 1695 divided by 15 is a whole number, 15 is a factor of 1695

Since 1695 divided by 113 is a whole number, 113 is a factor of 1695

Since 1695 divided by 339 is a whole number, 339 is a factor of 1695

Since 1695 divided by 565 is a whole number, 565 is a factor of 1695

Multiples of 1695 are all integers divisible by 1695 , i.e. the remainder of the full division by 1695 is zero. There are infinite multiples of 1695. The smallest multiples of 1695 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1695 since 0 × 1695 = 0

1695 : in fact, 1695 is a multiple of itself, since 1695 is divisible by 1695 (it was 1695 / 1695 = 1, so the rest of this division is zero)

3390: in fact, 3390 = 1695 × 2

5085: in fact, 5085 = 1695 × 3

6780: in fact, 6780 = 1695 × 4

8475: in fact, 8475 = 1695 × 5

etc.

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

for 1695, the answer is:
**No, 1695 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 1695). 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 41.17 ). 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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