Is 3169 a prime number? What are the divisors of 3169?

## Is 3169 a prime number?

Yes, 3169 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 3169, the only two divisors are 1 and 3169. Therefore 3169 is a prime number.

As a consequence, 3169 is only a multiple of 1 and 3169.

Since 3169 is a prime number, 3169 is also a deficient number, that is to say 3169 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3169 without 3169 itself (that is 1, by definition!).

## Parity of 3169

3169 is an odd number, because it is not evenly divisible by 2.

## Is 3169 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 3169 is about 56.294.

Thus, the square root of 3169 is not an integer, and therefore 3169 is not a square number.

Anyway, 3169 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3169?

The square of a number (here 3169) is the result of the product of this number (3169) by itself (i.e., 3169 × 3169); the square of 3169 is sometimes called "raising 3169 to the power 2", or "3169 squared".

The square of 3169 is 10 042 561 because 3169 × 3169 = 31692 = 10 042 561.

As a consequence, 3169 is the square root of 10 042 561.

## Number of digits of 3169

3169 is a number with 4 digits.

## What are the multiples of 3169?

The multiples of 3169 are all integers evenly divisible by 3169, that is all numbers such that the remainder of the division by 3169 is zero. There are infinitely many multiples of 3169. The smallest multiples of 3169 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3169 too, since 0 × 3169 = 0
• 3169: indeed, 3169 is a multiple of itself, since 3169 is evenly divisible by 3169 (we have 3169 / 3169 = 1, so the remainder of this division is indeed zero)
• 6 338: indeed, 6 338 = 3169 × 2
• 9 507: indeed, 9 507 = 3169 × 3
• 12 676: indeed, 12 676 = 3169 × 4
• 15 845: indeed, 15 845 = 3169 × 5
• etc.

## Nearest numbers from 3169

Find out whether some integer is a prime number