Numberwise

256

256 is 2⁸ — the number of distinct values a single byte can hold.

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Where 256 fits

Where 256 fits: Mathematics, Related numbersMathematics: Perfect square, Powerful number. Related numbers: 512, 128, 16777216.MathematicsPerfect squarePowerful numberRelated numbers51212816777216256
256 connects to 2 worlds: mathematics, related numbers.

Why 256 is special

256 is why so many limits in computing are 255: a byte holds 2⁸ = 256 values, and counting from zero makes the largest 255. It is the size of the extended character sets, the range of each colour channel in 24-bit images, and the reason an eight-bit game could show exactly 256 of anything before something had to give.

256 connects to:

  • 512 is a factor of
  • 128 has factor
  • powers of two is associated with
  • 16777216 is associated with

Factors & digit properties

Divisors (9)
1, 2, 4, 8, 16, 32, 64, 128, 256
Prime factorisation
2^8
Digit sum
13
Digital root
4

Representations

Decimal
256
Binary
100000000
Octal
400
Hexadecimal
100
Roman numeral
CCLVI
Scientific notation
2.560 × 10^2

Other mathematical patterns

  • Deficient number
  • Powerful number

Related numbers & connections

Mathematical relationship
Consecutive powers of two, and consecutive units of storage history: 256 values in a byte, 512 bytes in the disk sector that file systems assumed for decades. Doubling is the only step the binary world takes.

Consecutive powers of two, and consecutive units of storage history: 256 values in a byte, 512 bytes in the disk sector that file systems assumed for decades. Doubling is the only step the binary world takes.

View 512
Shared classification
256 is 2⁸, the number of values a byte holds, and the reason so many computing limits land on 255.

256 is 2⁸, the number of values a byte holds, and the reason so many computing limits land on 255.

Connection
256 values per channel across three channels gives 16,777,216 colours. The large number is entirely a consequence of the small one being cubed.

256 values per channel across three channels gives 16,777,216 colours. The large number is entirely a consequence of the small one being cubed.

View 16777216

Mathematically related

  • is a factor of512
    why?

    Strength 0.50, confidence "high".

  • has factor128
    why?

    Strength 0.50, confidence "high".

Shares a distinctive class

  • is associated withPowers of two
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with16777216
    why?

    Strength 0.50, confidence "high".

How is 256 connected to another number? →

Everyday life

  • A single byte holds 256 distinct values, so limits expressed as 255 are almost always one byte with zero counted. It is why colour channels stop at 255 and why older systems refused a 256th item.

    DocumentedEveryday lifeGeography: GlobalPeriod: 1960s–

Technology & computing

  • A byte holds 2⁸ = 256 distinct values, and counting from zero makes the largest one 255. That is why so many maximums are 255 rather than 256: colour channel intensities, the largest value in an unsigned 8-bit field, and the classic arcade 'kill screen' where a counter wraps past its byte.

    DocumentedTechnology & computing

Geography

  • +256 reaches Uganda, which has among the world's youngest median ages. Its demographic profile shapes everything from schooling to mobile adoption more than most policy does.

    DocumentedGeographyGeography: Uganda

Mathematics

  • 256 = 2⁸ = 4⁴ = 16², which is why it recurs at several different levels of the same systems: sixteen hexadecimal values per digit, two hex digits per byte, 256 values per byte. The nesting is the reason hexadecimal and binary interconvert so cleanly that programmers read one as the other.

    DocumentedMathematics

Common questions

Is 256 a prime number?

No, 256 is not prime.

What are the factors of 256?

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256.

What is 256 in Roman numerals?

256 in Roman numerals is CCLVI.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 4 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 3 August 2026