Is 374 a prime number?

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

For 374, the answer is: No, 374 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 374) is as follows: 1, 2, 11, 17, 22, 34, 187, 374.

For 374 to be a prime number, it would have been required that 374 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

374 is a multiple of 1
374 is a multiple of 2
374 is a multiple of 11
374 is a multiple of 17
374 is a multiple of 22
374 is a multiple of 34
374 is a multiple of 187

For 374 to be a prime number, it would have been required that 374 has only two divisors, i.e., itself and 1.

Is 374 a deficient number?

Yes, 374 is a deficient number, that is to say 374 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 374 without 374 itself (that is 1 + 2 + 11 + 17 + 22 + 34 + 187 = 274).

Parity of 374

374 is an even number, because it is evenly divisible by 2: 374 / 2 = 187.

Find out more:

What is an even number?

Is 374 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 374 is about 19.339.

Thus, the square root of 374 is not an integer, and therefore 374 is not a square number.

What is the square number of 374?

The square of a number (here 374) is the result of the product of this number (374) by itself (i.e., 374 × 374); the square of 374 is sometimes called "raising 374 to the power 2", or "374 squared".

The square of 374 is 139 876 because 374 × 374 = 374² = 139 876.

As a consequence, 374 is the square root of 139 876.

Number of digits of 374

374 is a number with 3 digits.

What are the multiples of 374?

The multiples of 374 are all integers evenly divisible by 374, that is all numbers such that the remainder of the division by 374 is zero. There are infinitely many multiples of 374. The smallest multiples of 374 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 374 too, since 0 × 374 = 0
374: indeed, 374 is a multiple of itself, since 374 is evenly divisible by 374 (we have 374 / 374 = 1, so the remainder of this division is indeed zero)
748: indeed, 748 = 374 × 2
1 122: indeed, 1 122 = 374 × 3
1 496: indeed, 1 496 = 374 × 4
1 870: indeed, 1 870 = 374 × 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 374). 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 19.339). 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 374

Preceding numbers: …372, 373
Following numbers: 375, 376…

Nearest numbers from 374

Preceding prime number: 373
Following prime number: 379