Is 298 a prime number?

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

For 298, the answer is: No, 298 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 298) is as follows: 1, 2, 149, 298.

For 298 to be a prime number, it would have been required that 298 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

298 is a multiple of 1
298 is a multiple of 2
298 is a multiple of 149

For 298 to be a prime number, it would have been required that 298 has only two divisors, i.e., itself and 1.

However, 298 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 298 = 2 x 149, where 2 and 149 are both prime numbers.

Is 298 a deficient number?

Yes, 298 is a deficient number, that is to say 298 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 298 without 298 itself (that is 1 + 2 + 149 = 152).

Parity of 298

298 is an even number, because it is evenly divisible by 2: 298 / 2 = 149.

Find out more:

What is an even number?

Is 298 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 298 is about 17.263.

Thus, the square root of 298 is not an integer, and therefore 298 is not a square number.

What is the square number of 298?

The square of a number (here 298) is the result of the product of this number (298) by itself (i.e., 298 × 298); the square of 298 is sometimes called "raising 298 to the power 2", or "298 squared".

The square of 298 is 88 804 because 298 × 298 = 298² = 88 804.

As a consequence, 298 is the square root of 88 804.

Number of digits of 298

298 is a number with 3 digits.

What are the multiples of 298?

The multiples of 298 are all integers evenly divisible by 298, that is all numbers such that the remainder of the division by 298 is zero. There are infinitely many multiples of 298. The smallest multiples of 298 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 298 too, since 0 × 298 = 0
298: indeed, 298 is a multiple of itself, since 298 is evenly divisible by 298 (we have 298 / 298 = 1, so the remainder of this division is indeed zero)
596: indeed, 596 = 298 × 2
894: indeed, 894 = 298 × 3
1 192: indeed, 1 192 = 298 × 4
1 490: indeed, 1 490 = 298 × 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 298). 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 17.263). 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 298

Preceding numbers: …296, 297
Following numbers: 299, 300…

Nearest numbers from 298

Preceding prime number: 293
Following prime number: 307