Is 1307 a prime number?

1 307 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 1 307 is about 36.152.

Thus, the square root of 1 307 is not an integer, and therefore 1 307 is not a square number.

Anyway, 1 307 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 307) is the result of the product of this number (1 307) by itself (i.e., 1 307 × 1 307); the square of 1 307 is sometimes called "raising 1 307 to the power 2", or "1 307 squared".

The square of 1 307 is 1 708 249 because 1 307 × 1 307 = 1 307² = 1 708 249.

As a consequence, 1 307 is the square root of 1 708 249.

1 307 is a number with 4 digits.

The multiples of 1 307 are all integers evenly divisible by 1 307, that is all numbers such that the remainder of the division by 1 307 is zero. There are infinitely many multiples of 1 307. The smallest multiples of 1 307 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 307 too, since 0 × 1 307 = 0
• 1 307: indeed, 1 307 is a multiple of itself, since 1 307 is evenly divisible by 1 307 (we have 1 307 / 1 307 = 1, so the remainder of this division is indeed zero)
• 2 614: indeed, 2 614 = 1 307 × 2
• 3 921: indeed, 3 921 = 1 307 × 3
• 5 228: indeed, 5 228 = 1 307 × 4
• 6 535: indeed, 6 535 = 1 307 × 5
• etc.

• Preceding numbers: …1 305, 1 306
• Following numbers: 1 308, 1 309…

Nearest numbers from 1 307

• Preceding prime number: 1 303
• Following prime number: 1 319

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• 1 307 est-il un nombre premier ?