Is 299 a prime number?

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

For 299, the answer is: No, 299 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 299) is as follows: 1, 13, 23, 299.

For 299 to be a prime number, it would have been required that 299 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

299 is a multiple of 1
299 is a multiple of 13
299 is a multiple of 23

For 299 to be a prime number, it would have been required that 299 has only two divisors, i.e., itself and 1.

However, 299 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 299 = 13 x 23, where 13 and 23 are both prime numbers.

Is 299 a deficient number?

Yes, 299 is a deficient number, that is to say 299 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 299 without 299 itself (that is 1 + 13 + 23 = 37).

Parity of 299

299 is an odd number, because it is not evenly divisible by 2.

Find out more:

What is an even number?

Is 299 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 299 is about 17.292.

Thus, the square root of 299 is not an integer, and therefore 299 is not a square number.

What is the square number of 299?

The square of a number (here 299) is the result of the product of this number (299) by itself (i.e., 299 × 299); the square of 299 is sometimes called "raising 299 to the power 2", or "299 squared".

The square of 299 is 89 401 because 299 × 299 = 299² = 89 401.

As a consequence, 299 is the square root of 89 401.

Number of digits of 299

299 is a number with 3 digits.

What are the multiples of 299?

The multiples of 299 are all integers evenly divisible by 299, that is all numbers such that the remainder of the division by 299 is zero. There are infinitely many multiples of 299. The smallest multiples of 299 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 299 too, since 0 × 299 = 0
299: indeed, 299 is a multiple of itself, since 299 is evenly divisible by 299 (we have 299 / 299 = 1, so the remainder of this division is indeed zero)
598: indeed, 598 = 299 × 2
897: indeed, 897 = 299 × 3
1 196: indeed, 1 196 = 299 × 4
1 495: indeed, 1 495 = 299 × 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 299). 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 17.292). 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 299

Preceding numbers: …297, 298
Following numbers: 300, 301…

Nearest numbers from 299

Preceding prime number: 293
Following prime number: 307