Is 898 a prime number?

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

For 898, the answer is: No, 898 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 898) is as follows: 1, 2, 449, 898.

For 898 to be a prime number, it would have been required that 898 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

898 is a multiple of 1
898 is a multiple of 2
898 is a multiple of 449

For 898 to be a prime number, it would have been required that 898 has only two divisors, i.e., itself and 1.

However, 898 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 898 = 2 x 449, where 2 and 449 are both prime numbers.

Is 898 a deficient number?

Yes, 898 is a deficient number, that is to say 898 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 898 without 898 itself (that is 1 + 2 + 449 = 452).

Parity of 898

898 is an even number, because it is evenly divisible by 2: 898 / 2 = 449.

Find out more:

What is an even number?

Is 898 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 898 is about 29.967.

Thus, the square root of 898 is not an integer, and therefore 898 is not a square number.

What is the square number of 898?

The square of a number (here 898) is the result of the product of this number (898) by itself (i.e., 898 × 898); the square of 898 is sometimes called "raising 898 to the power 2", or "898 squared".

The square of 898 is 806 404 because 898 × 898 = 898² = 806 404.

As a consequence, 898 is the square root of 806 404.

Number of digits of 898

898 is a number with 3 digits.

What are the multiples of 898?

The multiples of 898 are all integers evenly divisible by 898, that is all numbers such that the remainder of the division by 898 is zero. There are infinitely many multiples of 898. The smallest multiples of 898 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 898 too, since 0 × 898 = 0
898: indeed, 898 is a multiple of itself, since 898 is evenly divisible by 898 (we have 898 / 898 = 1, so the remainder of this division is indeed zero)
1 796: indeed, 1 796 = 898 × 2
2 694: indeed, 2 694 = 898 × 3
3 592: indeed, 3 592 = 898 × 4
4 490: indeed, 4 490 = 898 × 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 898). 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 29.967). 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 898

Preceding numbers: …896, 897
Following numbers: 899, 900…

Nearest numbers from 898

Preceding prime number: 887
Following prime number: 907