Is 10709 a prime number?

10 709 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 10 709 is about 103.484.

Thus, the square root of 10 709 is not an integer, and therefore 10 709 is not a square number.

Anyway, 10 709 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 709) is the result of the product of this number (10 709) by itself (i.e., 10 709 × 10 709); the square of 10 709 is sometimes called "raising 10 709 to the power 2", or "10 709 squared".

The square of 10 709 is 114 682 681 because 10 709 × 10 709 = 10 709² = 114 682 681.

As a consequence, 10 709 is the square root of 114 682 681.

10 709 is a number with 5 digits.

The multiples of 10 709 are all integers evenly divisible by 10 709, that is all numbers such that the remainder of the division by 10 709 is zero. There are infinitely many multiples of 10 709. The smallest multiples of 10 709 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 709 too, since 0 × 10 709 = 0
• 10 709: indeed, 10 709 is a multiple of itself, since 10 709 is evenly divisible by 10 709 (we have 10 709 / 10 709 = 1, so the remainder of this division is indeed zero)
• 21 418: indeed, 21 418 = 10 709 × 2
• 32 127: indeed, 32 127 = 10 709 × 3
• 42 836: indeed, 42 836 = 10 709 × 4
• 53 545: indeed, 53 545 = 10 709 × 5
• etc.

• Preceding numbers: …10 707, 10 708
• Following numbers: 10 710, 10 711…

Nearest numbers from 10 709

• Preceding prime number: 10 691
• Following prime number: 10 711

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• 10 709 est-il un nombre premier ?