Is 376 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 376, the answer is: No, 376 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 376) is as follows: 1, 2, 4, 8, 47, 94, 188, 376.

For 376 to be a prime number, it would have been required that 376 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

376 is a multiple of 1
376 is a multiple of 2
376 is a multiple of 4
376 is a multiple of 8
376 is a multiple of 47
376 is a multiple of 94
376 is a multiple of 188

For 376 to be a prime number, it would have been required that 376 has only two divisors, i.e., itself and 1.

Is 376 a deficient number?

Yes, 376 is a deficient number, that is to say 376 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 376 without 376 itself (that is 1 + 2 + 4 + 8 + 47 + 94 + 188 = 344).

Parity of 376

376 is an even number, because it is evenly divisible by 2: 376 / 2 = 188.

Find out more:

What is an even number?

Is 376 a perfect square 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 376 is about 19.391.

Thus, the square root of 376 is not an integer, and therefore 376 is not a square number.

What is the square number of 376?

The square of a number (here 376) is the result of the product of this number (376) by itself (i.e., 376 × 376); the square of 376 is sometimes called "raising 376 to the power 2", or "376 squared".

The square of 376 is 141 376 because 376 × 376 = 376² = 141 376.

As a consequence, 376 is the square root of 141 376.

Number of digits of 376

376 is a number with 3 digits.

What are the multiples of 376?

The multiples of 376 are all integers evenly divisible by 376, that is all numbers such that the remainder of the division by 376 is zero. There are infinitely many multiples of 376. The smallest multiples of 376 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 376 too, since 0 × 376 = 0
376: indeed, 376 is a multiple of itself, since 376 is evenly divisible by 376 (we have 376 / 376 = 1, so the remainder of this division is indeed zero)
752: indeed, 752 = 376 × 2
1 128: indeed, 1 128 = 376 × 3
1 504: indeed, 1 504 = 376 × 4
1 880: indeed, 1 880 = 376 × 5
etc.

How to determine whether an integer is a prime number?

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 376). 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 19.391). 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.

Numbers near 376

Preceding numbers: …374, 375
Following numbers: 377, 378…

Nearest numbers from 376

Preceding prime number: 373
Following prime number: 379