Is 13309 a prime number?

13 309 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 13 309 is about 115.365.

Thus, the square root of 13 309 is not an integer, and therefore 13 309 is not a square number.

Anyway, 13 309 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 13 309) is the result of the product of this number (13 309) by itself (i.e., 13 309 × 13 309); the square of 13 309 is sometimes called "raising 13 309 to the power 2", or "13 309 squared".

The square of 13 309 is 177 129 481 because 13 309 × 13 309 = 13 309² = 177 129 481.

As a consequence, 13 309 is the square root of 177 129 481.

13 309 is a number with 5 digits.

The multiples of 13 309 are all integers evenly divisible by 13 309, that is all numbers such that the remainder of the division by 13 309 is zero. There are infinitely many multiples of 13 309. The smallest multiples of 13 309 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 309 too, since 0 × 13 309 = 0
• 13 309: indeed, 13 309 is a multiple of itself, since 13 309 is evenly divisible by 13 309 (we have 13 309 / 13 309 = 1, so the remainder of this division is indeed zero)
• 26 618: indeed, 26 618 = 13 309 × 2
• 39 927: indeed, 39 927 = 13 309 × 3
• 53 236: indeed, 53 236 = 13 309 × 4
• 66 545: indeed, 66 545 = 13 309 × 5
• etc.

• Preceding numbers: …13 307, 13 308
• Following numbers: 13 310, 13 311…

Nearest numbers from 13 309

• Preceding prime number: 13 297
• Following prime number: 13 313

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• 13 309 est-il un nombre premier ?