Is 548 a prime number?

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

For 548, the answer is: No, 548 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 548) is as follows: 1, 2, 4, 137, 274, 548.

For 548 to be a prime number, it would have been required that 548 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

548 is a multiple of 1
548 is a multiple of 2
548 is a multiple of 4
548 is a multiple of 137
548 is a multiple of 274

For 548 to be a prime number, it would have been required that 548 has only two divisors, i.e., itself and 1.

Is 548 a deficient number?

Yes, 548 is a deficient number, that is to say 548 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 548 without 548 itself (that is 1 + 2 + 4 + 137 + 274 = 418).

Parity of 548

548 is an even number, because it is evenly divisible by 2: 548 / 2 = 274.

Find out more:

What is an even number?

Is 548 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 548 is about 23.409.

Thus, the square root of 548 is not an integer, and therefore 548 is not a square number.

What is the square number of 548?

The square of a number (here 548) is the result of the product of this number (548) by itself (i.e., 548 × 548); the square of 548 is sometimes called "raising 548 to the power 2", or "548 squared".

The square of 548 is 300 304 because 548 × 548 = 548² = 300 304.

As a consequence, 548 is the square root of 300 304.

Number of digits of 548

548 is a number with 3 digits.

What are the multiples of 548?

The multiples of 548 are all integers evenly divisible by 548, that is all numbers such that the remainder of the division by 548 is zero. There are infinitely many multiples of 548. The smallest multiples of 548 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 548 too, since 0 × 548 = 0
548: indeed, 548 is a multiple of itself, since 548 is evenly divisible by 548 (we have 548 / 548 = 1, so the remainder of this division is indeed zero)
1 096: indeed, 1 096 = 548 × 2
1 644: indeed, 1 644 = 548 × 3
2 192: indeed, 2 192 = 548 × 4
2 740: indeed, 2 740 = 548 × 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 548). 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 23.409). 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 548

Preceding numbers: …546, 547
Following numbers: 549, 550…

Nearest numbers from 548

Preceding prime number: 547
Following prime number: 557