Is 1253 a prime number?

1 253 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 1 253 is about 35.398.

Thus, the square root of 1 253 is not an integer, and therefore 1 253 is not a square number.

The square of a number (here 1 253) is the result of the product of this number (1 253) by itself (i.e., 1 253 × 1 253); the square of 1 253 is sometimes called "raising 1 253 to the power 2", or "1 253 squared".

The square of 1 253 is 1 570 009 because 1 253 × 1 253 = 1 253² = 1 570 009.

As a consequence, 1 253 is the square root of 1 570 009.

1 253 is a number with 4 digits.

The multiples of 1 253 are all integers evenly divisible by 1 253, that is all numbers such that the remainder of the division by 1 253 is zero. There are infinitely many multiples of 1 253. The smallest multiples of 1 253 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 253 too, since 0 × 1 253 = 0
• 1 253: indeed, 1 253 is a multiple of itself, since 1 253 is evenly divisible by 1 253 (we have 1 253 / 1 253 = 1, so the remainder of this division is indeed zero)
• 2 506: indeed, 2 506 = 1 253 × 2
• 3 759: indeed, 3 759 = 1 253 × 3
• 5 012: indeed, 5 012 = 1 253 × 4
• 6 265: indeed, 6 265 = 1 253 × 5
• etc.

• Preceding numbers: …1 251, 1 252
• Following numbers: 1 254, 1 255…

Nearest numbers from 1 253

• Preceding prime number: 1 249
• Following prime number: 1 259

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• 1 253 est-il un nombre premier ?