Is 848 a prime number?

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

For 848, the answer is: No, 848 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 848) is as follows: 1, 2, 4, 8, 16, 53, 106, 212, 424, 848.

For 848 to be a prime number, it would have been required that 848 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

848 is a multiple of 1
848 is a multiple of 2
848 is a multiple of 4
848 is a multiple of 8
848 is a multiple of 16
848 is a multiple of 53
848 is a multiple of 106
848 is a multiple of 212
848 is a multiple of 424

For 848 to be a prime number, it would have been required that 848 has only two divisors, i.e., itself and 1.

Is 848 a deficient number?

Yes, 848 is a deficient number, that is to say 848 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 848 without 848 itself (that is 1 + 2 + 4 + 8 + 16 + 53 + 106 + 212 + 424 = 826).

Parity of 848

848 is an even number, because it is evenly divisible by 2: 848 / 2 = 424.

Find out more:

What is an even number?

Is 848 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 848 is about 29.120.

Thus, the square root of 848 is not an integer, and therefore 848 is not a square number.

What is the square number of 848?

The square of a number (here 848) is the result of the product of this number (848) by itself (i.e., 848 × 848); the square of 848 is sometimes called "raising 848 to the power 2", or "848 squared".

The square of 848 is 719 104 because 848 × 848 = 848² = 719 104.

As a consequence, 848 is the square root of 719 104.

Number of digits of 848

848 is a number with 3 digits.

What are the multiples of 848?

The multiples of 848 are all integers evenly divisible by 848, that is all numbers such that the remainder of the division by 848 is zero. There are infinitely many multiples of 848. The smallest multiples of 848 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 848 too, since 0 × 848 = 0
848: indeed, 848 is a multiple of itself, since 848 is evenly divisible by 848 (we have 848 / 848 = 1, so the remainder of this division is indeed zero)
1 696: indeed, 1 696 = 848 × 2
2 544: indeed, 2 544 = 848 × 3
3 392: indeed, 3 392 = 848 × 4
4 240: indeed, 4 240 = 848 × 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 848). 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 29.120). 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 848

Preceding numbers: …846, 847
Following numbers: 849, 850…

Nearest numbers from 848

Preceding prime number: 839
Following prime number: 853