Is 3109 a prime number? What are the divisors of 3109?

Is 3109 a prime number?

Yes, 3109 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 3109, the only two divisors are 1 and 3109. Therefore 3109 is a prime number.

As a consequence, 3109 is only a multiple of 1 and 3109.

Since 3109 is a prime number, 3109 is also a deficient number, that is to say 3109 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3109 without 3109 itself (that is 1, by definition!).

Parity of 3109

3109 is an odd number, because it is not evenly divisible by 2.

Is 3109 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 3109 is about 55.758.

Thus, the square root of 3109 is not an integer, and therefore 3109 is not a square number.

Anyway, 3109 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3109?

The square of a number (here 3109) is the result of the product of this number (3109) by itself (i.e., 3109 × 3109); the square of 3109 is sometimes called "raising 3109 to the power 2", or "3109 squared".

The square of 3109 is 9 665 881 because 3109 × 3109 = 31092 = 9 665 881.

As a consequence, 3109 is the square root of 9 665 881.

Number of digits of 3109

3109 is a number with 4 digits.

What are the multiples of 3109?

The multiples of 3109 are all integers evenly divisible by 3109, that is all numbers such that the remainder of the division by 3109 is zero. There are infinitely many multiples of 3109. The smallest multiples of 3109 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3109 too, since 0 × 3109 = 0
  • 3109: indeed, 3109 is a multiple of itself, since 3109 is evenly divisible by 3109 (we have 3109 / 3109 = 1, so the remainder of this division is indeed zero)
  • 6 218: indeed, 6 218 = 3109 × 2
  • 9 327: indeed, 9 327 = 3109 × 3
  • 12 436: indeed, 12 436 = 3109 × 4
  • 15 545: indeed, 15 545 = 3109 × 5
  • etc.

Numbers near 3109

Nearest numbers from 3109

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