Is 900 a prime number? What are the divisors of 900?

## Parity of 900

900 is an even number, because it is evenly divisible by 2: 900 / 2 = 450.

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## Is 900 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 900 is 30.

Therefore, the square root of 900 is an integer, and as a consequence 900 is a perfect square.

As a consequence, 30 is the square root of 900.

## What is the square number of 900?

The square of a number (here 900) is the result of the product of this number (900) by itself (i.e., 900 × 900); the square of 900 is sometimes called "raising 900 to the power 2", or "900 squared".

The square of 900 is 810 000 because 900 × 900 = 9002 = 810 000.

As a consequence, 900 is the square root of 810 000.

## Number of digits of 900

900 is a number with 3 digits.

## What are the multiples of 900?

The multiples of 900 are all integers evenly divisible by 900, that is all numbers such that the remainder of the division by 900 is zero. There are infinitely many multiples of 900. The smallest multiples of 900 are:

## 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 900). 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 30). 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 900

• Preceding numbers: …898, 899
• Following numbers: 901, 902

### Nearest numbers from 900

• Preceding prime number: 887
• Following prime number: 907
Find out whether some integer is a prime number