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In addition we can say of the number **1742 that it is even**

1742 is an even number, as it is divisible by 2 : 1742/2 = 871

The factors for 1742 are all the numbers between -1742 and 1742 , which divide 1742 without leaving any remainder. Since 1742 divided by -1742 is an integer, -1742 is a factor of 1742 .

Since 1742 divided by -1742 is a whole number, -1742 is a factor of 1742

Since 1742 divided by -871 is a whole number, -871 is a factor of 1742

Since 1742 divided by -134 is a whole number, -134 is a factor of 1742

Since 1742 divided by -67 is a whole number, -67 is a factor of 1742

Since 1742 divided by -26 is a whole number, -26 is a factor of 1742

Since 1742 divided by -13 is a whole number, -13 is a factor of 1742

Since 1742 divided by -2 is a whole number, -2 is a factor of 1742

Since 1742 divided by -1 is a whole number, -1 is a factor of 1742

Since 1742 divided by 1 is a whole number, 1 is a factor of 1742

Since 1742 divided by 2 is a whole number, 2 is a factor of 1742

Since 1742 divided by 13 is a whole number, 13 is a factor of 1742

Since 1742 divided by 26 is a whole number, 26 is a factor of 1742

Since 1742 divided by 67 is a whole number, 67 is a factor of 1742

Since 1742 divided by 134 is a whole number, 134 is a factor of 1742

Since 1742 divided by 871 is a whole number, 871 is a factor of 1742

Multiples of 1742 are all integers divisible by 1742 , i.e. the remainder of the full division by 1742 is zero. There are infinite multiples of 1742. The smallest multiples of 1742 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1742 since 0 × 1742 = 0

1742 : in fact, 1742 is a multiple of itself, since 1742 is divisible by 1742 (it was 1742 / 1742 = 1, so the rest of this division is zero)

3484: in fact, 3484 = 1742 × 2

5226: in fact, 5226 = 1742 × 3

6968: in fact, 6968 = 1742 × 4

8710: in fact, 8710 = 1742 × 5

etc.

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

for 1742, the answer is:
**No, 1742 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 1742). 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 41.737 ). 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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