Is 470 a prime number? What are the divisors of 470?

## Parity of 470

470 is an even number, because it is evenly divisible by 2: 470 / 2 = 235.

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## Is 470 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 470 is about 21.679.

Thus, the square root of 470 is not an integer, and therefore 470 is not a square number.

## What is the square number of 470?

The square of a number (here 470) is the result of the product of this number (470) by itself (i.e., 470 × 470); the square of 470 is sometimes called "raising 470 to the power 2", or "470 squared".

The square of 470 is 220 900 because 470 × 470 = 4702 = 220 900.

As a consequence, 470 is the square root of 220 900.

## Number of digits of 470

470 is a number with 3 digits.

## What are the multiples of 470?

The multiples of 470 are all integers evenly divisible by 470, that is all numbers such that the remainder of the division by 470 is zero. There are infinitely many multiples of 470. The smallest multiples of 470 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 470). 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 21.679). 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 470

• Preceding numbers: …468, 469
• Following numbers: 471, 472

### Nearest numbers from 470

• Preceding prime number: 467
• Following prime number: 479
Find out whether some integer is a prime number