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In addition we can say of the number **730 that it is even**

730 is an even number, as it is divisible by 2 : 730/2 = 365

The factors for 730 are all the numbers between -730 and 730 , which divide 730 without leaving any remainder. Since 730 divided by -730 is an integer, -730 is a factor of 730 .

Since 730 divided by -730 is a whole number, -730 is a factor of 730

Since 730 divided by -365 is a whole number, -365 is a factor of 730

Since 730 divided by -146 is a whole number, -146 is a factor of 730

Since 730 divided by -73 is a whole number, -73 is a factor of 730

Since 730 divided by -10 is a whole number, -10 is a factor of 730

Since 730 divided by -5 is a whole number, -5 is a factor of 730

Since 730 divided by -2 is a whole number, -2 is a factor of 730

Since 730 divided by -1 is a whole number, -1 is a factor of 730

Since 730 divided by 1 is a whole number, 1 is a factor of 730

Since 730 divided by 2 is a whole number, 2 is a factor of 730

Since 730 divided by 5 is a whole number, 5 is a factor of 730

Since 730 divided by 10 is a whole number, 10 is a factor of 730

Since 730 divided by 73 is a whole number, 73 is a factor of 730

Since 730 divided by 146 is a whole number, 146 is a factor of 730

Since 730 divided by 365 is a whole number, 365 is a factor of 730

Multiples of 730 are all integers divisible by 730 , i.e. the remainder of the full division by 730 is zero. There are infinite multiples of 730. The smallest multiples of 730 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 730 since 0 × 730 = 0

730 : in fact, 730 is a multiple of itself, since 730 is divisible by 730 (it was 730 / 730 = 1, so the rest of this division is zero)

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 730, the answer is:
**No, 730 is not a prime number**.

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 730). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 27.019 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.

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