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In addition we can say of the number **174 that it is even**

174 is an even number, as it is divisible by 2 : 174/2 = 87

The factors for 174 are all the numbers between -174 and 174 , which divide 174 without leaving any remainder. Since 174 divided by -174 is an integer, -174 is a factor of 174 .

Since 174 divided by -174 is a whole number, -174 is a factor of 174

Since 174 divided by -87 is a whole number, -87 is a factor of 174

Since 174 divided by -58 is a whole number, -58 is a factor of 174

Since 174 divided by -29 is a whole number, -29 is a factor of 174

Since 174 divided by -6 is a whole number, -6 is a factor of 174

Since 174 divided by -3 is a whole number, -3 is a factor of 174

Since 174 divided by -2 is a whole number, -2 is a factor of 174

Since 174 divided by -1 is a whole number, -1 is a factor of 174

Since 174 divided by 1 is a whole number, 1 is a factor of 174

Since 174 divided by 2 is a whole number, 2 is a factor of 174

Since 174 divided by 3 is a whole number, 3 is a factor of 174

Since 174 divided by 6 is a whole number, 6 is a factor of 174

Since 174 divided by 29 is a whole number, 29 is a factor of 174

Since 174 divided by 58 is a whole number, 58 is a factor of 174

Since 174 divided by 87 is a whole number, 87 is a factor of 174

Multiples of 174 are all integers divisible by 174 , i.e. the remainder of the full division by 174 is zero. There are infinite multiples of 174. The smallest multiples of 174 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 174 since 0 × 174 = 0

174 : in fact, 174 is a multiple of itself, since 174 is divisible by 174 (it was 174 / 174 = 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 174, the answer is:
**No, 174 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 174). 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 13.191 ). 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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