Is 590 a prime number?

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

For 590, the answer is: No, 590 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 590) is as follows: 1, 2, 5, 10, 59, 118, 295, 590.

For 590 to be a prime number, it would have been required that 590 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 590 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 590 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

590 is a multiple of 1
590 is a multiple of 2
590 is a multiple of 5
590 is a multiple of 10
590 is a multiple of 59
590 is a multiple of 118
590 is a multiple of 295

For 590 to be a prime number, it would have been required that 590 has only two divisors, i.e., itself and 1.

Is 590 a deficient number?

Yes, 590 is a deficient number, that is to say 590 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 590 without 590 itself (that is 1 + 2 + 5 + 10 + 59 + 118 + 295 = 490).

Parity of 590

590 is an even number, because it is evenly divisible by 2: 590 / 2 = 295.

Find out more:

What is an even number?

Is 590 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 590 is about 24.290.

Thus, the square root of 590 is not an integer, and therefore 590 is not a square number.

What is the square number of 590?

The square of a number (here 590) is the result of the product of this number (590) by itself (i.e., 590 × 590); the square of 590 is sometimes called "raising 590 to the power 2", or "590 squared".

The square of 590 is 348 100 because 590 × 590 = 590² = 348 100.

As a consequence, 590 is the square root of 348 100.

Number of digits of 590

590 is a number with 3 digits.

What are the multiples of 590?

The multiples of 590 are all integers evenly divisible by 590, that is all numbers such that the remainder of the division by 590 is zero. There are infinitely many multiples of 590. The smallest multiples of 590 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 590 too, since 0 × 590 = 0
590: indeed, 590 is a multiple of itself, since 590 is evenly divisible by 590 (we have 590 / 590 = 1, so the remainder of this division is indeed zero)
1 180: indeed, 1 180 = 590 × 2
1 770: indeed, 1 770 = 590 × 3
2 360: indeed, 2 360 = 590 × 4
2 950: indeed, 2 950 = 590 × 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 590). 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 24.290). 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 590

Preceding numbers: …588, 589
Following numbers: 591, 592…

Nearest numbers from 590

Preceding prime number: 587
Following prime number: 593