Is 550 a prime number?

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

For 550, the answer is: No, 550 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 550) is as follows: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.

For 550 to be a prime number, it would have been required that 550 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 550 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 550 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

550 is a multiple of 1
550 is a multiple of 2
550 is a multiple of 5
550 is a multiple of 10
550 is a multiple of 11
550 is a multiple of 22
550 is a multiple of 25
550 is a multiple of 50
550 is a multiple of 55
550 is a multiple of 110
550 is a multiple of 275

For 550 to be a prime number, it would have been required that 550 has only two divisors, i.e., itself and 1.

Is 550 a deficient number?

No, 550 is not a deficient number: to be deficient, 550 should have been such that 550 is larger than the sum of its proper divisors, i.e., the divisors of 550 without 550 itself (that is 1 + 2 + 5 + 10 + 11 + 22 + 25 + 50 + 55 + 110 + 275 = 566).

In fact, 550 is an abundant number; 550 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 5 + 10 + 11 + 22 + 25 + 50 + 55 + 110 + 275 = 566). The smallest abundant number is 12.

Parity of 550

550 is an even number, because it is evenly divisible by 2: 550 / 2 = 275.

Find out more:

What is an even number?

Is 550 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 550 is about 23.452.

Thus, the square root of 550 is not an integer, and therefore 550 is not a square number.

What is the square number of 550?

The square of a number (here 550) is the result of the product of this number (550) by itself (i.e., 550 × 550); the square of 550 is sometimes called "raising 550 to the power 2", or "550 squared".

The square of 550 is 302 500 because 550 × 550 = 550² = 302 500.

As a consequence, 550 is the square root of 302 500.

Number of digits of 550

550 is a number with 3 digits.

What are the multiples of 550?

The multiples of 550 are all integers evenly divisible by 550, that is all numbers such that the remainder of the division by 550 is zero. There are infinitely many multiples of 550. The smallest multiples of 550 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 550 too, since 0 × 550 = 0
550: indeed, 550 is a multiple of itself, since 550 is evenly divisible by 550 (we have 550 / 550 = 1, so the remainder of this division is indeed zero)
1 100: indeed, 1 100 = 550 × 2
1 650: indeed, 1 650 = 550 × 3
2 200: indeed, 2 200 = 550 × 4
2 750: indeed, 2 750 = 550 × 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 550). 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 23.452). 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 550

Preceding numbers: …548, 549
Following numbers: 551, 552…

Nearest numbers from 550

Preceding prime number: 547
Following prime number: 557