Is 1249 a prime number? What are the divisors of 1249?

## Is 1249 a prime number?

Yes, 1249 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1249, the only two divisors are 1 and 1249. Therefore 1249 is a prime number.

As a consequence, 1249 is only a multiple of 1 and 1249.

Since 1249 is a prime number, 1249 is also a deficient number, that is to say 1249 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1249 without 1249 itself (that is 1, by definition!).

## Parity of 1249

1249 is an odd number, because it is not evenly divisible by 2.

## Is 1249 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 1249 is about 35.341.

Thus, the square root of 1249 is not an integer, and therefore 1249 is not a square number.

Anyway, 1249 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1249?

The square of a number (here 1249) is the result of the product of this number (1249) by itself (i.e., 1249 × 1249); the square of 1249 is sometimes called "raising 1249 to the power 2", or "1249 squared".

The square of 1249 is 1 560 001 because 1249 × 1249 = 12492 = 1 560 001.

As a consequence, 1249 is the square root of 1 560 001.

## Number of digits of 1249

1249 is a number with 4 digits.

## What are the multiples of 1249?

The multiples of 1249 are all integers evenly divisible by 1249, that is all numbers such that the remainder of the division by 1249 is zero. There are infinitely many multiples of 1249. The smallest multiples of 1249 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1249 too, since 0 × 1249 = 0
• 1249: indeed, 1249 is a multiple of itself, since 1249 is evenly divisible by 1249 (we have 1249 / 1249 = 1, so the remainder of this division is indeed zero)
• 2 498: indeed, 2 498 = 1249 × 2
• 3 747: indeed, 3 747 = 1249 × 3
• 4 996: indeed, 4 996 = 1249 × 4
• 6 245: indeed, 6 245 = 1249 × 5
• etc.

## Nearest numbers from 1249

Find out whether some integer is a prime number