Is 10301 a prime number?

10 301 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 10 301 is about 101.494.

Thus, the square root of 10 301 is not an integer, and therefore 10 301 is not a square number.

Anyway, 10 301 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 10 301) is the result of the product of this number (10 301) by itself (i.e., 10 301 × 10 301); the square of 10 301 is sometimes called "raising 10 301 to the power 2", or "10 301 squared".

The square of 10 301 is 106 110 601 because 10 301 × 10 301 = 10 301² = 106 110 601.

As a consequence, 10 301 is the square root of 106 110 601.

10 301 is a number with 5 digits.

The multiples of 10 301 are all integers evenly divisible by 10 301, that is all numbers such that the remainder of the division by 10 301 is zero. There are infinitely many multiples of 10 301. The smallest multiples of 10 301 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 301 too, since 0 × 10 301 = 0
• 10 301: indeed, 10 301 is a multiple of itself, since 10 301 is evenly divisible by 10 301 (we have 10 301 / 10 301 = 1, so the remainder of this division is indeed zero)
• 20 602: indeed, 20 602 = 10 301 × 2
• 30 903: indeed, 30 903 = 10 301 × 3
• 41 204: indeed, 41 204 = 10 301 × 4
• 51 505: indeed, 51 505 = 10 301 × 5
• etc.

• Preceding numbers: …10 299, 10 300
• Following numbers: 10 302, 10 303…

Nearest numbers from 10 301

• Preceding prime number: 10 289
• Following prime number: 10 303

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• 10 301 est-il un nombre premier ?