Is 220 a prime number? What are the divisors of 220?

Parity of 220

220 is an even number, because it is evenly divisible by 2: 220 / 2 = 110.

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Is 220 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 220 is about 14.832.

Thus, the square root of 220 is not an integer, and therefore 220 is not a square number.

What is the square number of 220?

The square of a number (here 220) is the result of the product of this number (220) by itself (i.e., 220 × 220); the square of 220 is sometimes called "raising 220 to the power 2", or "220 squared".

The square of 220 is 48 400 because 220 × 220 = 2202 = 48 400.

As a consequence, 220 is the square root of 48 400.

Number of digits of 220

220 is a number with 3 digits.

What are the multiples of 220?

The multiples of 220 are all integers evenly divisible by 220, that is all numbers such that the remainder of the division by 220 is zero. There are infinitely many multiples of 220. The smallest multiples of 220 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 220 too, since 0 × 220 = 0
  • 220: indeed, 220 is a multiple of itself, since 220 is evenly divisible by 220 (we have 220 / 220 = 1, so the remainder of this division is indeed zero)
  • 440: indeed, 440 = 220 × 2
  • 660: indeed, 660 = 220 × 3
  • 880: indeed, 880 = 220 × 4
  • 1 100: indeed, 1 100 = 220 × 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 220). 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 14.832). 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 220

  • Preceding numbers: …218, 219
  • Following numbers: 221, 222…

Nearest numbers from 220

  • Preceding prime number: 211
  • Following prime number: 223
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