Is 15749 a prime number?

15 749 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 15 749 is about 125.495.

Thus, the square root of 15 749 is not an integer, and therefore 15 749 is not a square number.

Anyway, 15 749 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 15 749) is the result of the product of this number (15 749) by itself (i.e., 15 749 × 15 749); the square of 15 749 is sometimes called "raising 15 749 to the power 2", or "15 749 squared".

The square of 15 749 is 248 031 001 because 15 749 × 15 749 = 15 749² = 248 031 001.

As a consequence, 15 749 is the square root of 248 031 001.

15 749 is a number with 5 digits.

The multiples of 15 749 are all integers evenly divisible by 15 749, that is all numbers such that the remainder of the division by 15 749 is zero. There are infinitely many multiples of 15 749. The smallest multiples of 15 749 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 15 749 too, since 0 × 15 749 = 0
• 15 749: indeed, 15 749 is a multiple of itself, since 15 749 is evenly divisible by 15 749 (we have 15 749 / 15 749 = 1, so the remainder of this division is indeed zero)
• 31 498: indeed, 31 498 = 15 749 × 2
• 47 247: indeed, 47 247 = 15 749 × 3
• 62 996: indeed, 62 996 = 15 749 × 4
• 78 745: indeed, 78 745 = 15 749 × 5
• etc.

• Preceding numbers: …15 747, 15 748
• Following numbers: 15 750, 15 751…

Nearest numbers from 15 749

• Preceding prime number: 15 739
• Following prime number: 15 761

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• 15 749 est-il un nombre premier ?