Is 604 a prime number?

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

For 604, the answer is: No, 604 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 604) is as follows: 1, 2, 4, 151, 302, 604.

For 604 to be a prime number, it would have been required that 604 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

604 is a multiple of 1
604 is a multiple of 2
604 is a multiple of 4
604 is a multiple of 151
604 is a multiple of 302

For 604 to be a prime number, it would have been required that 604 has only two divisors, i.e., itself and 1.

Is 604 a deficient number?

Yes, 604 is a deficient number, that is to say 604 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 604 without 604 itself (that is 1 + 2 + 4 + 151 + 302 = 460).

Parity of 604

604 is an even number, because it is evenly divisible by 2: 604 / 2 = 302.

Find out more:

What is an even number?

Is 604 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 604 is about 24.576.

Thus, the square root of 604 is not an integer, and therefore 604 is not a square number.

What is the square number of 604?

The square of a number (here 604) is the result of the product of this number (604) by itself (i.e., 604 × 604); the square of 604 is sometimes called "raising 604 to the power 2", or "604 squared".

The square of 604 is 364 816 because 604 × 604 = 604² = 364 816.

As a consequence, 604 is the square root of 364 816.

Number of digits of 604

604 is a number with 3 digits.

What are the multiples of 604?

The multiples of 604 are all integers evenly divisible by 604, that is all numbers such that the remainder of the division by 604 is zero. There are infinitely many multiples of 604. The smallest multiples of 604 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 604 too, since 0 × 604 = 0
604: indeed, 604 is a multiple of itself, since 604 is evenly divisible by 604 (we have 604 / 604 = 1, so the remainder of this division is indeed zero)
1 208: indeed, 1 208 = 604 × 2
1 812: indeed, 1 812 = 604 × 3
2 416: indeed, 2 416 = 604 × 4
3 020: indeed, 3 020 = 604 × 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 604). 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 24.576). 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 604

Preceding numbers: …602, 603
Following numbers: 605, 606…

Nearest numbers from 604

Preceding prime number: 601
Following prime number: 607