Is 875 a prime number? What are the divisors of 875?

## Parity of 875

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

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## Is 875 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 875 is about 29.580.

Thus, the square root of 875 is not an integer, and therefore 875 is not a square number.

## What is the square number of 875?

The square of a number (here 875) is the result of the product of this number (875) by itself (i.e., 875 × 875); the square of 875 is sometimes called "raising 875 to the power 2", or "875 squared".

The square of 875 is 765 625 because 875 × 875 = 8752 = 765 625.

As a consequence, 875 is the square root of 765 625.

## Number of digits of 875

875 is a number with 3 digits.

## What are the multiples of 875?

The multiples of 875 are all integers evenly divisible by 875, that is all numbers such that the remainder of the division by 875 is zero. There are infinitely many multiples of 875. The smallest multiples of 875 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 875). 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 29.580). 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 875

• Preceding numbers: …873, 874
• Following numbers: 876, 877

### Nearest numbers from 875

• Preceding prime number: 863
• Following prime number: 877
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