Is 874 a prime number?

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

For 874, the answer is: No, 874 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 874) is as follows: 1, 2, 19, 23, 38, 46, 437, 874.

For 874 to be a prime number, it would have been required that 874 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

874 is a multiple of 1
874 is a multiple of 2
874 is a multiple of 19
874 is a multiple of 23
874 is a multiple of 38
874 is a multiple of 46
874 is a multiple of 437

For 874 to be a prime number, it would have been required that 874 has only two divisors, i.e., itself and 1.

Is 874 a deficient number?

Yes, 874 is a deficient number, that is to say 874 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 874 without 874 itself (that is 1 + 2 + 19 + 23 + 38 + 46 + 437 = 566).

Parity of 874

874 is an even number, because it is evenly divisible by 2: 874 / 2 = 437.

Find out more:

What is an even number?

Is 874 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 874 is about 29.563.

Thus, the square root of 874 is not an integer, and therefore 874 is not a square number.

What is the square number of 874?

The square of a number (here 874) is the result of the product of this number (874) by itself (i.e., 874 × 874); the square of 874 is sometimes called "raising 874 to the power 2", or "874 squared".

The square of 874 is 763 876 because 874 × 874 = 874² = 763 876.

As a consequence, 874 is the square root of 763 876.

Number of digits of 874

874 is a number with 3 digits.

What are the multiples of 874?

The multiples of 874 are all integers evenly divisible by 874, that is all numbers such that the remainder of the division by 874 is zero. There are infinitely many multiples of 874. The smallest multiples of 874 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 874 too, since 0 × 874 = 0
874: indeed, 874 is a multiple of itself, since 874 is evenly divisible by 874 (we have 874 / 874 = 1, so the remainder of this division is indeed zero)
1 748: indeed, 1 748 = 874 × 2
2 622: indeed, 2 622 = 874 × 3
3 496: indeed, 3 496 = 874 × 4
4 370: indeed, 4 370 = 874 × 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 874). 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 29.563). 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 874

Preceding numbers: …872, 873
Following numbers: 875, 876…

Nearest numbers from 874

Preceding prime number: 863
Following prime number: 877