Is 970 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 970, the answer is: No, 970 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 970) is as follows: 1, 2, 5, 10, 97, 194, 485, 970.

For 970 to be a prime number, it would have been required that 970 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 970 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 970 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

970 is a multiple of 1
970 is a multiple of 2
970 is a multiple of 5
970 is a multiple of 10
970 is a multiple of 97
970 is a multiple of 194
970 is a multiple of 485

For 970 to be a prime number, it would have been required that 970 has only two divisors, i.e., itself and 1.

Is 970 a deficient number?

Yes, 970 is a deficient number, that is to say 970 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 970 without 970 itself (that is 1 + 2 + 5 + 10 + 97 + 194 + 485 = 794).

Parity of 970

970 is an even number, because it is evenly divisible by 2: 970 / 2 = 485.

Find out more:

What is an even number?

Is 970 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 970 is about 31.145.

Thus, the square root of 970 is not an integer, and therefore 970 is not a square number.

What is the square number of 970?

The square of a number (here 970) is the result of the product of this number (970) by itself (i.e., 970 × 970); the square of 970 is sometimes called "raising 970 to the power 2", or "970 squared".

The square of 970 is 940 900 because 970 × 970 = 970² = 940 900.

As a consequence, 970 is the square root of 940 900.

Number of digits of 970

970 is a number with 3 digits.

What are the multiples of 970?

The multiples of 970 are all integers evenly divisible by 970, that is all numbers such that the remainder of the division by 970 is zero. There are infinitely many multiples of 970. The smallest multiples of 970 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 970 too, since 0 × 970 = 0
970: indeed, 970 is a multiple of itself, since 970 is evenly divisible by 970 (we have 970 / 970 = 1, so the remainder of this division is indeed zero)
1 940: indeed, 1 940 = 970 × 2
2 910: indeed, 2 910 = 970 × 3
3 880: indeed, 3 880 = 970 × 4
4 850: indeed, 4 850 = 970 × 5
etc.

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 970). 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 31.145). 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 970

Preceding numbers: …968, 969
Following numbers: 971, 972…

Nearest numbers from 970

Preceding prime number: 967
Following prime number: 971