Is 10729 a prime number?

10 729 is an odd number, because it is not evenly divisible by 2.

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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 10 729 is about 103.581.

Thus, the square root of 10 729 is not an integer, and therefore 10 729 is not a square number.

Anyway, 10 729 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 729) is the result of the product of this number (10 729) by itself (i.e., 10 729 × 10 729); the square of 10 729 is sometimes called "raising 10 729 to the power 2", or "10 729 squared".

The square of 10 729 is 115 111 441 because 10 729 × 10 729 = 10 729² = 115 111 441.

As a consequence, 10 729 is the square root of 115 111 441.

10 729 is a number with 5 digits.

The multiples of 10 729 are all integers evenly divisible by 10 729, that is all numbers such that the remainder of the division by 10 729 is zero. There are infinitely many multiples of 10 729. The smallest multiples of 10 729 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 729 too, since 0 × 10 729 = 0
• 10 729: indeed, 10 729 is a multiple of itself, since 10 729 is evenly divisible by 10 729 (we have 10 729 / 10 729 = 1, so the remainder of this division is indeed zero)
• 21 458: indeed, 21 458 = 10 729 × 2
• 32 187: indeed, 32 187 = 10 729 × 3
• 42 916: indeed, 42 916 = 10 729 × 4
• 53 645: indeed, 53 645 = 10 729 × 5
• etc.

• Preceding numbers: …10 727, 10 728
• Following numbers: 10 730, 10 731…

Nearest numbers from 10 729

• Preceding prime number: 10 723
• Following prime number: 10 733

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• 10 729 est-il un nombre premier ?