Is 735 a prime number? What are the divisors of 735?

## Parity of 735

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

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## Is 735 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 735 is about 27.111.

Thus, the square root of 735 is not an integer, and therefore 735 is not a square number.

## What is the square number of 735?

The square of a number (here 735) is the result of the product of this number (735) by itself (i.e., 735 × 735); the square of 735 is sometimes called "raising 735 to the power 2", or "735 squared".

The square of 735 is 540 225 because 735 × 735 = 7352 = 540 225.

As a consequence, 735 is the square root of 540 225.

## Number of digits of 735

735 is a number with 3 digits.

## What are the multiples of 735?

The multiples of 735 are all integers evenly divisible by 735, that is all numbers such that the remainder of the division by 735 is zero. There are infinitely many multiples of 735. The smallest multiples of 735 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 735). 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 27.111). 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 735

• Preceding numbers: …733, 734
• Following numbers: 736, 737

### Nearest numbers from 735

• Preceding prime number: 733
• Following prime number: 739
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