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The list of **all positive divisors** (that is, the list of all integers that **divide 22**) is as follows :

Accordingly:

**1250** is multiplo of **1**

**1250** is multiplo of **2**

**1250** is multiplo of **5**

**1250** is multiplo of **10**

**1250** is multiplo of **25**

**1250** is multiplo of **50**

**1250** is multiplo of **125**

**1250** is multiplo of **250**

**1250** is multiplo of **625**

**1250** has **9 positive divisors **

In addition we can say of the number **1250 that it is even**

1250 is an even number, as it is divisible by 2 : 1250/2 = 625

The factors for 1250 are all the numbers between -1250 and 1250 , which divide 1250 without leaving any remainder. Since 1250 divided by -1250 is an integer, -1250 is a factor of 1250 .

Since 1250 divided by -1250 is a whole number, -1250 is a factor of 1250

Since 1250 divided by -625 is a whole number, -625 is a factor of 1250

Since 1250 divided by -250 is a whole number, -250 is a factor of 1250

Since 1250 divided by -125 is a whole number, -125 is a factor of 1250

Since 1250 divided by -50 is a whole number, -50 is a factor of 1250

Since 1250 divided by -25 is a whole number, -25 is a factor of 1250

Since 1250 divided by -10 is a whole number, -10 is a factor of 1250

Since 1250 divided by -5 is a whole number, -5 is a factor of 1250

Since 1250 divided by -2 is a whole number, -2 is a factor of 1250

Since 1250 divided by -1 is a whole number, -1 is a factor of 1250

Since 1250 divided by 1 is a whole number, 1 is a factor of 1250

Since 1250 divided by 2 is a whole number, 2 is a factor of 1250

Since 1250 divided by 5 is a whole number, 5 is a factor of 1250

Since 1250 divided by 10 is a whole number, 10 is a factor of 1250

Since 1250 divided by 25 is a whole number, 25 is a factor of 1250

Since 1250 divided by 50 is a whole number, 50 is a factor of 1250

Since 1250 divided by 125 is a whole number, 125 is a factor of 1250

Since 1250 divided by 250 is a whole number, 250 is a factor of 1250

Since 1250 divided by 625 is a whole number, 625 is a factor of 1250

Multiples of 1250 are all integers divisible by 1250 , i.e. the remainder of the full division by 1250 is zero. There are infinite multiples of 1250. The smallest multiples of 1250 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1250 since 0 × 1250 = 0

1250 : in fact, 1250 is a multiple of itself, since 1250 is divisible by 1250 (it was 1250 / 1250 = 1, so the rest of this division is zero)

2500: in fact, 2500 = 1250 × 2

3750: in fact, 3750 = 1250 × 3

5000: in fact, 5000 = 1250 × 4

6250: in fact, 6250 = 1250 × 5

etc.

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

for 1250, the answer is:
**No, 1250 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 1250). 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 35.355 ). 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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