Is 498 a prime number?

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

For 498, the answer is: No, 498 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 498) is as follows: 1, 2, 3, 6, 83, 166, 249, 498.

For 498 to be a prime number, it would have been required that 498 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

498 is a multiple of 1
498 is a multiple of 2
498 is a multiple of 3
498 is a multiple of 6
498 is a multiple of 83
498 is a multiple of 166
498 is a multiple of 249

For 498 to be a prime number, it would have been required that 498 has only two divisors, i.e., itself and 1.

Is 498 a deficient number?

No, 498 is not a deficient number: to be deficient, 498 should have been such that 498 is larger than the sum of its proper divisors, i.e., the divisors of 498 without 498 itself (that is 1 + 2 + 3 + 6 + 83 + 166 + 249 = 510).

In fact, 498 is an abundant number; 498 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 83 + 166 + 249 = 510). The smallest abundant number is 12.

Parity of 498

498 is an even number, because it is evenly divisible by 2: 498 / 2 = 249.

Find out more:

What is an even number?

Is 498 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 498 is about 22.316.

Thus, the square root of 498 is not an integer, and therefore 498 is not a square number.

What is the square number of 498?

The square of a number (here 498) is the result of the product of this number (498) by itself (i.e., 498 × 498); the square of 498 is sometimes called "raising 498 to the power 2", or "498 squared".

The square of 498 is 248 004 because 498 × 498 = 498² = 248 004.

As a consequence, 498 is the square root of 248 004.

Number of digits of 498

498 is a number with 3 digits.

What are the multiples of 498?

The multiples of 498 are all integers evenly divisible by 498, that is all numbers such that the remainder of the division by 498 is zero. There are infinitely many multiples of 498. The smallest multiples of 498 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 498 too, since 0 × 498 = 0
498: indeed, 498 is a multiple of itself, since 498 is evenly divisible by 498 (we have 498 / 498 = 1, so the remainder of this division is indeed zero)
996: indeed, 996 = 498 × 2
1 494: indeed, 1 494 = 498 × 3
1 992: indeed, 1 992 = 498 × 4
2 490: indeed, 2 490 = 498 × 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 498). 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 22.316). 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 498

Preceding numbers: …496, 497
Following numbers: 499, 500…

Nearest numbers from 498

Preceding prime number: 491
Following prime number: 499