Is 5309 a prime number?

5 309 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 5 309 is about 72.863.

Thus, the square root of 5 309 is not an integer, and therefore 5 309 is not a square number.

Anyway, 5 309 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 5 309) is the result of the product of this number (5 309) by itself (i.e., 5 309 × 5 309); the square of 5 309 is sometimes called "raising 5 309 to the power 2", or "5 309 squared".

The square of 5 309 is 28 185 481 because 5 309 × 5 309 = 5 309² = 28 185 481.

As a consequence, 5 309 is the square root of 28 185 481.

5 309 is a number with 4 digits.

The multiples of 5 309 are all integers evenly divisible by 5 309, that is all numbers such that the remainder of the division by 5 309 is zero. There are infinitely many multiples of 5 309. The smallest multiples of 5 309 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 309 too, since 0 × 5 309 = 0
• 5 309: indeed, 5 309 is a multiple of itself, since 5 309 is evenly divisible by 5 309 (we have 5 309 / 5 309 = 1, so the remainder of this division is indeed zero)
• 10 618: indeed, 10 618 = 5 309 × 2
• 15 927: indeed, 15 927 = 5 309 × 3
• 21 236: indeed, 21 236 = 5 309 × 4
• 26 545: indeed, 26 545 = 5 309 × 5
• etc.

• Preceding numbers: …5 307, 5 308
• Following numbers: 5 310, 5 311…

Nearest numbers from 5 309

• Preceding prime number: 5 303
• Following prime number: 5 323

• Is 0 a prime number?
• Is 1 a prime number?
• Is 2 a prime number?
• Is 2024 a prime number?
• Is 2025 a prime number?
• Is 8318 a prime number?

• Five thousand prime numbers

• Contact

• 5 309 est-il un nombre premier ?