Is 1229 a prime number? What are the divisors of 1229?

## Is 1229 a prime number?

Yes, 1229 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 1229, the only two divisors are 1 and 1229. Therefore 1229 is a prime number.

As a consequence, 1229 is only a multiple of 1 and 1229.

Since 1229 is a prime number, 1229 is also a deficient number, that is to say 1229 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1229 without 1229 itself (that is 1, by definition!).

## Parity of 1229

1229 is an odd number, because it is not evenly divisible by 2.

## Is 1229 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 1229 is about 35.057.

Thus, the square root of 1229 is not an integer, and therefore 1229 is not a square number.

Anyway, 1229 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1229?

The square of a number (here 1229) is the result of the product of this number (1229) by itself (i.e., 1229 × 1229); the square of 1229 is sometimes called "raising 1229 to the power 2", or "1229 squared".

The square of 1229 is 1 510 441 because 1229 × 1229 = 12292 = 1 510 441.

As a consequence, 1229 is the square root of 1 510 441.

## Number of digits of 1229

1229 is a number with 4 digits.

## What are the multiples of 1229?

The multiples of 1229 are all integers evenly divisible by 1229, that is all numbers such that the remainder of the division by 1229 is zero. There are infinitely many multiples of 1229. The smallest multiples of 1229 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1229 too, since 0 × 1229 = 0
• 1229: indeed, 1229 is a multiple of itself, since 1229 is evenly divisible by 1229 (we have 1229 / 1229 = 1, so the remainder of this division is indeed zero)
• 2 458: indeed, 2 458 = 1229 × 2
• 3 687: indeed, 3 687 = 1229 × 3
• 4 916: indeed, 4 916 = 1229 × 4
• 6 145: indeed, 6 145 = 1229 × 5
• etc.

## Nearest numbers from 1229

Find out whether some integer is a prime number