Is 373 a prime number?

373 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 373 is about 19.313.

Thus, the square root of 373 is not an integer, and therefore 373 is not a square number.

Anyway, 373 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 373) is the result of the product of this number (373) by itself (i.e., 373 × 373); the square of 373 is sometimes called "raising 373 to the power 2", or "373 squared".

The square of 373 is 139 129 because 373 × 373 = 373² = 139 129.

As a consequence, 373 is the square root of 139 129.

373 is a number with 3 digits.

The multiples of 373 are all integers evenly divisible by 373, that is all numbers such that the remainder of the division by 373 is zero. There are infinitely many multiples of 373. The smallest multiples of 373 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 373 too, since 0 × 373 = 0
• 373: indeed, 373 is a multiple of itself, since 373 is evenly divisible by 373 (we have 373 / 373 = 1, so the remainder of this division is indeed zero)
• 746: indeed, 746 = 373 × 2
• 1 119: indeed, 1 119 = 373 × 3
• 1 492: indeed, 1 492 = 373 × 4
• 1 865: indeed, 1 865 = 373 × 5
• etc.

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 373). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 19.313). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

• Preceding numbers: …371, 372
• Following numbers: 374, 375…

Nearest numbers from 373

• Preceding prime number: 367
• Following prime number: 379

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• 373 est-il un nombre premier ?