256 is an even composite number. It is composed of a single prime number multiplied by itself seven times.

256 is an even composite number. It is composed of one distinct prime number multiplied by itself seven times. It has a total of nine divisors.

Prime factorization of 256:


(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 256 from the Numbermatics database.

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Names Factors Divisors Scales Roots Fun

Names of 256

  • Cardinal: 256 can be written as Two hundred fifty-six.

Scientific notation

  • Scientific notation: 2.56 × 102

Factors of 256

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 8
  • Sum of prime factors: 2

Divisors of 256

  • Number of divisors d(n): 9
  • Complete list of divisors:
  • Sum of all divisors σ(n): 511
  • Sum of proper divisors (its aliquot sum) s(n): 255
  • 256 is a deficient number, because the sum of its proper divisors (255) is less than itself. Its deficiency is 1

Bases of 256

  • Binary: 100000000 2
  • Hexadecimal: 0x100

Squares and roots of 256

  • 256 squared (2562) is 65536
  • 256 cubed (2563) is 16777216
  • 256 is a perfect square number. Its square root is 16
  • The cube root of 256 is 6.3496042079

Scales and comparisons

How big is 256?
  • 256 seconds is equal to 4 minutes, 16 seconds.
  • To count from 1 to 256 would take you about two minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000.

    Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!

  • A cube with a volume of 256 cubic inches would be around 0.5 feet tall.

Recreational maths with 256

  • 256 backwards is 652
  • The number of decimal digits it has is: 3
  • The sum of 256's digits is 13
  • More coming soon!

The information we have on file for 256 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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