Is 542 a prime number?

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

For 542, the answer is: No, 542 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 542) is as follows: 1, 2, 271, 542.

For 542 to be a prime number, it would have been required that 542 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

542 is a multiple of 1
542 is a multiple of 2
542 is a multiple of 271

For 542 to be a prime number, it would have been required that 542 has only two divisors, i.e., itself and 1.

However, 542 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 542 = 2 x 271, where 2 and 271 are both prime numbers.

Is 542 a deficient number?

Yes, 542 is a deficient number, that is to say 542 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 542 without 542 itself (that is 1 + 2 + 271 = 274).

Parity of 542

542 is an even number, because it is evenly divisible by 2: 542 / 2 = 271.

Find out more:

What is an even number?

Is 542 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 542 is about 23.281.

Thus, the square root of 542 is not an integer, and therefore 542 is not a square number.

What is the square number of 542?

The square of a number (here 542) is the result of the product of this number (542) by itself (i.e., 542 × 542); the square of 542 is sometimes called "raising 542 to the power 2", or "542 squared".

The square of 542 is 293 764 because 542 × 542 = 542² = 293 764.

As a consequence, 542 is the square root of 293 764.

Number of digits of 542

542 is a number with 3 digits.

What are the multiples of 542?

The multiples of 542 are all integers evenly divisible by 542, that is all numbers such that the remainder of the division by 542 is zero. There are infinitely many multiples of 542. The smallest multiples of 542 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 542 too, since 0 × 542 = 0
542: indeed, 542 is a multiple of itself, since 542 is evenly divisible by 542 (we have 542 / 542 = 1, so the remainder of this division is indeed zero)
1 084: indeed, 1 084 = 542 × 2
1 626: indeed, 1 626 = 542 × 3
2 168: indeed, 2 168 = 542 × 4
2 710: indeed, 2 710 = 542 × 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 542). 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 23.281). 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 542

Preceding numbers: …540, 541
Following numbers: 543, 544…

Nearest numbers from 542

Preceding prime number: 541
Following prime number: 547