Is 976 a prime number?

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

For 976, the answer is: No, 976 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 976) is as follows: 1, 2, 4, 8, 16, 61, 122, 244, 488, 976.

For 976 to be a prime number, it would have been required that 976 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

976 is a multiple of 1
976 is a multiple of 2
976 is a multiple of 4
976 is a multiple of 8
976 is a multiple of 16
976 is a multiple of 61
976 is a multiple of 122
976 is a multiple of 244
976 is a multiple of 488

For 976 to be a prime number, it would have been required that 976 has only two divisors, i.e., itself and 1.

Is 976 a deficient number?

Yes, 976 is a deficient number, that is to say 976 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 976 without 976 itself (that is 1 + 2 + 4 + 8 + 16 + 61 + 122 + 244 + 488 = 946).

Parity of 976

976 is an even number, because it is evenly divisible by 2: 976 / 2 = 488.

Find out more:

What is an even number?

Is 976 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 976 is about 31.241.

Thus, the square root of 976 is not an integer, and therefore 976 is not a square number.

What is the square number of 976?

The square of a number (here 976) is the result of the product of this number (976) by itself (i.e., 976 × 976); the square of 976 is sometimes called "raising 976 to the power 2", or "976 squared".

The square of 976 is 952 576 because 976 × 976 = 976² = 952 576.

As a consequence, 976 is the square root of 952 576.

Number of digits of 976

976 is a number with 3 digits.

What are the multiples of 976?

The multiples of 976 are all integers evenly divisible by 976, that is all numbers such that the remainder of the division by 976 is zero. There are infinitely many multiples of 976. The smallest multiples of 976 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 976 too, since 0 × 976 = 0
976: indeed, 976 is a multiple of itself, since 976 is evenly divisible by 976 (we have 976 / 976 = 1, so the remainder of this division is indeed zero)
1 952: indeed, 1 952 = 976 × 2
2 928: indeed, 2 928 = 976 × 3
3 904: indeed, 3 904 = 976 × 4
4 880: indeed, 4 880 = 976 × 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 976). 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 31.241). 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 976

Preceding numbers: …974, 975
Following numbers: 977, 978…

Nearest numbers from 976

Preceding prime number: 971
Following prime number: 977