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**105is an odd number**,as it is not divisible by 2

The factors for 105 are all the numbers between -105 and 105 , which divide 105 without leaving any remainder. Since 105 divided by -105 is an integer, -105 is a factor of 105 .

Since 105 divided by -105 is a whole number, -105 is a factor of 105

Since 105 divided by -35 is a whole number, -35 is a factor of 105

Since 105 divided by -21 is a whole number, -21 is a factor of 105

Since 105 divided by -15 is a whole number, -15 is a factor of 105

Since 105 divided by -7 is a whole number, -7 is a factor of 105

Since 105 divided by -5 is a whole number, -5 is a factor of 105

Since 105 divided by -3 is a whole number, -3 is a factor of 105

Since 105 divided by -1 is a whole number, -1 is a factor of 105

Since 105 divided by 1 is a whole number, 1 is a factor of 105

Since 105 divided by 3 is a whole number, 3 is a factor of 105

Since 105 divided by 5 is a whole number, 5 is a factor of 105

Since 105 divided by 7 is a whole number, 7 is a factor of 105

Since 105 divided by 15 is a whole number, 15 is a factor of 105

Since 105 divided by 21 is a whole number, 21 is a factor of 105

Since 105 divided by 35 is a whole number, 35 is a factor of 105

Multiples of 105 are all integers divisible by 105 , i.e. the remainder of the full division by 105 is zero. There are infinite multiples of 105. The smallest multiples of 105 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 105 since 0 × 105 = 0

105 : in fact, 105 is a multiple of itself, since 105 is divisible by 105 (it was 105 / 105 = 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 105, the answer is:
**No, 105 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 105). 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 10.247 ). 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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