Is 2501 a prime number?

2 501 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 2 501 is about 50.010.

Thus, the square root of 2 501 is not an integer, and therefore 2 501 is not a square number.

The square of a number (here 2 501) is the result of the product of this number (2 501) by itself (i.e., 2 501 × 2 501); the square of 2 501 is sometimes called "raising 2 501 to the power 2", or "2 501 squared".

The square of 2 501 is 6 255 001 because 2 501 × 2 501 = 2 501² = 6 255 001.

As a consequence, 2 501 is the square root of 6 255 001.

2 501 is a number with 4 digits.

The multiples of 2 501 are all integers evenly divisible by 2 501, that is all numbers such that the remainder of the division by 2 501 is zero. There are infinitely many multiples of 2 501. The smallest multiples of 2 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 501 too, since 0 × 2 501 = 0
• 2 501: indeed, 2 501 is a multiple of itself, since 2 501 is evenly divisible by 2 501 (we have 2 501 / 2 501 = 1, so the remainder of this division is indeed zero)
• 5 002: indeed, 5 002 = 2 501 × 2
• 7 503: indeed, 7 503 = 2 501 × 3
• 10 004: indeed, 10 004 = 2 501 × 4
• 12 505: indeed, 12 505 = 2 501 × 5
• etc.

• Preceding numbers: …2 499, 2 500
• Following numbers: 2 502, 2 503…

Nearest numbers from 2 501

• Preceding prime number: 2 477
• Following prime number: 2 503

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• 2 501 est-il un nombre premier ?