Is 13824 a prime number?

13 824 is an even number, because it is evenly divisible by 2: 13 824 / 2 = 6 912.

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• 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 13 824 is about 117.576.

Thus, the square root of 13 824 is not an integer, and therefore 13 824 is not a square number.

The square of a number (here 13 824) is the result of the product of this number (13 824) by itself (i.e., 13 824 × 13 824); the square of 13 824 is sometimes called "raising 13 824 to the power 2", or "13 824 squared".

The square of 13 824 is 191 102 976 because 13 824 × 13 824 = 13 824² = 191 102 976.

As a consequence, 13 824 is the square root of 191 102 976.

13 824 is a number with 5 digits.

The multiples of 13 824 are all integers evenly divisible by 13 824, that is all numbers such that the remainder of the division by 13 824 is zero. There are infinitely many multiples of 13 824. The smallest multiples of 13 824 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 13 824 too, since 0 × 13 824 = 0
• 13 824: indeed, 13 824 is a multiple of itself, since 13 824 is evenly divisible by 13 824 (we have 13 824 / 13 824 = 1, so the remainder of this division is indeed zero)
• 27 648: indeed, 27 648 = 13 824 × 2
• 41 472: indeed, 41 472 = 13 824 × 3
• 55 296: indeed, 55 296 = 13 824 × 4
• 69 120: indeed, 69 120 = 13 824 × 5
• etc.

• Preceding numbers: …13 822, 13 823
• Following numbers: 13 825, 13 826…

Nearest numbers from 13 824

• Preceding prime number: 13 807
• Following prime number: 13 829

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• 13 824 est-il un nombre premier ?