Is 798 a prime number?

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

For 798, the answer is: No, 798 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 798) is as follows: 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798.

For 798 to be a prime number, it would have been required that 798 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

798 is a multiple of 1
798 is a multiple of 2
798 is a multiple of 3
798 is a multiple of 6
798 is a multiple of 7
798 is a multiple of 14
798 is a multiple of 19
798 is a multiple of 21
798 is a multiple of 38
798 is a multiple of 42
798 is a multiple of 57
798 is a multiple of 114
798 is a multiple of 133
798 is a multiple of 266
798 is a multiple of 399

For 798 to be a prime number, it would have been required that 798 has only two divisors, i.e., itself and 1.

Is 798 a deficient number?

No, 798 is not a deficient number: to be deficient, 798 should have been such that 798 is larger than the sum of its proper divisors, i.e., the divisors of 798 without 798 itself (that is 1 + 2 + 3 + 6 + 7 + 14 + 19 + 21 + 38 + 42 + 57 + 114 + 133 + 266 + 399 = 1 122).

In fact, 798 is an abundant number; 798 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 6 + 7 + 14 + 19 + 21 + 38 + 42 + 57 + 114 + 133 + 266 + 399 = 1 122). The smallest abundant number is 12.

Parity of 798

798 is an even number, because it is evenly divisible by 2: 798 / 2 = 399.

Find out more:

What is an even number?

Is 798 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 798 is about 28.249.

Thus, the square root of 798 is not an integer, and therefore 798 is not a square number.

What is the square number of 798?

The square of a number (here 798) is the result of the product of this number (798) by itself (i.e., 798 × 798); the square of 798 is sometimes called "raising 798 to the power 2", or "798 squared".

The square of 798 is 636 804 because 798 × 798 = 798² = 636 804.

As a consequence, 798 is the square root of 636 804.

Number of digits of 798

798 is a number with 3 digits.

What are the multiples of 798?

The multiples of 798 are all integers evenly divisible by 798, that is all numbers such that the remainder of the division by 798 is zero. There are infinitely many multiples of 798. The smallest multiples of 798 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 798 too, since 0 × 798 = 0
798: indeed, 798 is a multiple of itself, since 798 is evenly divisible by 798 (we have 798 / 798 = 1, so the remainder of this division is indeed zero)
1 596: indeed, 1 596 = 798 × 2
2 394: indeed, 2 394 = 798 × 3
3 192: indeed, 3 192 = 798 × 4
3 990: indeed, 3 990 = 798 × 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 798). 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 28.249). 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 798

Preceding numbers: …796, 797
Following numbers: 799, 800…

Nearest numbers from 798

Preceding prime number: 797
Following prime number: 809