Is 276 a prime number?

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

For 276, the answer is: No, 276 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 276) is as follows: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.

For 276 to be a prime number, it would have been required that 276 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

276 is a multiple of 1
276 is a multiple of 2
276 is a multiple of 3
276 is a multiple of 4
276 is a multiple of 6
276 is a multiple of 12
276 is a multiple of 23
276 is a multiple of 46
276 is a multiple of 69
276 is a multiple of 92
276 is a multiple of 138

For 276 to be a prime number, it would have been required that 276 has only two divisors, i.e., itself and 1.

Is 276 a deficient number?

No, 276 is not a deficient number: to be deficient, 276 should have been such that 276 is larger than the sum of its proper divisors, i.e., the divisors of 276 without 276 itself (that is 1 + 2 + 3 + 4 + 6 + 12 + 23 + 46 + 69 + 92 + 138 = 396).

In fact, 276 is an abundant number; 276 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 3 + 4 + 6 + 12 + 23 + 46 + 69 + 92 + 138 = 396). The smallest abundant number is 12.

Parity of 276

276 is an even number, because it is evenly divisible by 2: 276 / 2 = 138.

Find out more:

What is an even number?

Is 276 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 276 is about 16.613.

Thus, the square root of 276 is not an integer, and therefore 276 is not a square number.

What is the square number of 276?

The square of a number (here 276) is the result of the product of this number (276) by itself (i.e., 276 × 276); the square of 276 is sometimes called "raising 276 to the power 2", or "276 squared".

The square of 276 is 76 176 because 276 × 276 = 276² = 76 176.

As a consequence, 276 is the square root of 76 176.

Number of digits of 276

276 is a number with 3 digits.

What are the multiples of 276?

The multiples of 276 are all integers evenly divisible by 276, that is all numbers such that the remainder of the division by 276 is zero. There are infinitely many multiples of 276. The smallest multiples of 276 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 276 too, since 0 × 276 = 0
276: indeed, 276 is a multiple of itself, since 276 is evenly divisible by 276 (we have 276 / 276 = 1, so the remainder of this division is indeed zero)
552: indeed, 552 = 276 × 2
828: indeed, 828 = 276 × 3
1 104: indeed, 1 104 = 276 × 4
1 380: indeed, 1 380 = 276 × 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 276). 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 16.613). 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 276

Preceding numbers: …274, 275
Following numbers: 277, 278…

Nearest numbers from 276

Preceding prime number: 271
Following prime number: 277