Is 574 a prime number?

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

For 574, the answer is: No, 574 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 574) is as follows: 1, 2, 7, 14, 41, 82, 287, 574.

For 574 to be a prime number, it would have been required that 574 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

574 is a multiple of 1
574 is a multiple of 2
574 is a multiple of 7
574 is a multiple of 14
574 is a multiple of 41
574 is a multiple of 82
574 is a multiple of 287

For 574 to be a prime number, it would have been required that 574 has only two divisors, i.e., itself and 1.

Is 574 a deficient number?

Yes, 574 is a deficient number, that is to say 574 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 574 without 574 itself (that is 1 + 2 + 7 + 14 + 41 + 82 + 287 = 434).

Parity of 574

574 is an even number, because it is evenly divisible by 2: 574 / 2 = 287.

Find out more:

What is an even number?

Is 574 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 574 is about 23.958.

Thus, the square root of 574 is not an integer, and therefore 574 is not a square number.

What is the square number of 574?

The square of a number (here 574) is the result of the product of this number (574) by itself (i.e., 574 × 574); the square of 574 is sometimes called "raising 574 to the power 2", or "574 squared".

The square of 574 is 329 476 because 574 × 574 = 574² = 329 476.

As a consequence, 574 is the square root of 329 476.

Number of digits of 574

574 is a number with 3 digits.

What are the multiples of 574?

The multiples of 574 are all integers evenly divisible by 574, that is all numbers such that the remainder of the division by 574 is zero. There are infinitely many multiples of 574. The smallest multiples of 574 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 574 too, since 0 × 574 = 0
574: indeed, 574 is a multiple of itself, since 574 is evenly divisible by 574 (we have 574 / 574 = 1, so the remainder of this division is indeed zero)
1 148: indeed, 1 148 = 574 × 2
1 722: indeed, 1 722 = 574 × 3
2 296: indeed, 2 296 = 574 × 4
2 870: indeed, 2 870 = 574 × 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 574). 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 23.958). 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 574

Preceding numbers: …572, 573
Following numbers: 575, 576…

Nearest numbers from 574

Preceding prime number: 571
Following prime number: 577