Is 870 a prime number? What are the divisors of 870?

## Parity of 870

870 is an even number, because it is evenly divisible by 2: 870 / 2 = 435.

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## Is 870 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 870 is about 29.496.

Thus, the square root of 870 is not an integer, and therefore 870 is not a square number.

## What is the square number of 870?

The square of a number (here 870) is the result of the product of this number (870) by itself (i.e., 870 × 870); the square of 870 is sometimes called "raising 870 to the power 2", or "870 squared".

The square of 870 is 756 900 because 870 × 870 = 8702 = 756 900.

As a consequence, 870 is the square root of 756 900.

## Number of digits of 870

870 is a number with 3 digits.

## What are the multiples of 870?

The multiples of 870 are all integers evenly divisible by 870, that is all numbers such that the remainder of the division by 870 is zero. There are infinitely many multiples of 870. The smallest multiples of 870 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 870). 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 29.496). 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 870

• Preceding numbers: …868, 869
• Following numbers: 871, 872

### Nearest numbers from 870

• Preceding prime number: 863
• Following prime number: 877
Find out whether some integer is a prime number