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In addition we can say of the number **970 that it is even**

970 is an even number, as it is divisible by 2 : 970/2 = 485

The factors for 970 are all the numbers between -970 and 970 , which divide 970 without leaving any remainder. Since 970 divided by -970 is an integer, -970 is a factor of 970 .

Since 970 divided by -970 is a whole number, -970 is a factor of 970

Since 970 divided by -485 is a whole number, -485 is a factor of 970

Since 970 divided by -194 is a whole number, -194 is a factor of 970

Since 970 divided by -97 is a whole number, -97 is a factor of 970

Since 970 divided by -10 is a whole number, -10 is a factor of 970

Since 970 divided by -5 is a whole number, -5 is a factor of 970

Since 970 divided by -2 is a whole number, -2 is a factor of 970

Since 970 divided by -1 is a whole number, -1 is a factor of 970

Since 970 divided by 1 is a whole number, 1 is a factor of 970

Since 970 divided by 2 is a whole number, 2 is a factor of 970

Since 970 divided by 5 is a whole number, 5 is a factor of 970

Since 970 divided by 10 is a whole number, 10 is a factor of 970

Since 970 divided by 97 is a whole number, 97 is a factor of 970

Since 970 divided by 194 is a whole number, 194 is a factor of 970

Since 970 divided by 485 is a whole number, 485 is a factor of 970

Multiples of 970 are all integers divisible by 970 , i.e. the remainder of the full division by 970 is zero. There are infinite multiples of 970. The smallest multiples of 970 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 970 since 0 × 970 = 0

970 : in fact, 970 is a multiple of itself, since 970 is divisible by 970 (it was 970 / 970 = 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 970, the answer is:
**No, 970 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 970). 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 31.145 ). 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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