Numberwise

1802

1802 is the year the first factory legislation was passed in Britain.

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Where 1802 fits

Where 1802 fits: History, Related numbersHistory: Historical years. Related numbers: 1696.HistoryHistorical yearsRelated numbers16961802
1802 connects to 2 worlds: history, related numbers.

Why 1802 is special

It limited apprentice working hours to twelve a day and required basic instruction. It was almost entirely unenforced, having no inspectors, which later acts had to supply.

Same number, different meanings

How 1802 is understood across different contexts — never implying one meaning because of another.

1802 is part of

Factors & digit properties

Divisors (8)
1, 2, 17, 34, 53, 106, 901, 1802
Prime factorisation
2 × 17 × 53
Digit sum
11
Digital root
2

Representations

Decimal
1802
Scientific notation
1.802 × 10^3

Roman numerals

M D C C C I I

Binary

1 1 1 0 0 0 0 1 0 1 0

1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 1 × 2 + 0 × 1 = 1,802

Octal

3 4 1 2

3 × 512 + 4 × 64 + 1 × 8 + 2 × 1 = 1,802

Hexadecimal

7 0 a

7 × 256 + 0 × 16 + a × 1 = 1,802

Read as powers of two: 1,024 + 512 + 256 + 8 + 2 = 1,802.

In historical numeral systems

Egyptian

1 lotus, 8 coils of rope, 2 strokes

1 × 1,000 + 8 × 100 + 2 × 1 = 1,802. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Babylonian

3 corner wedges (sixties place), 2 vertical wedges (units place)

30 × 60 + 2 = 1802. Places are separated by a space on the tablet, with the higher place written first.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Deficient number

Related numbers & connections

Documented appearance
1802 is a year in the 19th century, in the 1800s.

1802 is a year in the 19th century, in the 1800s.

Connection
The window tax of 1696 changed buildings and the factory act of 1802 failed to change conditions for want of inspectors. Both illustrate that a law's effect depends on how it can be enforced or avoided.

The window tax of 1696 changed buildings and the factory act of 1802 failed to change conditions for want of inspectors. Both illustrate that a law's effect depends on how it can be enforced or avoided.

View 1696

Numbers Around Us

  • appears inHistorical years
    why?

    Strength 0.50, confidence "high".

Other connections

  • is associated with1696
    why?

    Strength 0.50, confidence "high".

How is 1802 connected to another number? →

History

  • In 1802, the Health and Morals of Apprentices Act limited working hours for pauper children in mills, the first British factory legislation (Great Britain).

    DocumentedHistoryGeography: Great BritainPeriod: 1802

Law & regulation

  • The 1802 Health and Morals of Apprentices Act limited hours and required schooling, and provided no enforcement mechanism. Subsequent factory acts are largely a history of adding inspection to rules that already existed.

    DocumentedLaw & regulationGeography: BritainPeriod: 1802

Common questions

Is 1802 a prime number?

No, 1802 is not prime.

What are the factors of 1802?

The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802.

What is 1802 in Roman numerals?

1802 in Roman numerals is MDCCCII.

About this page's data

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

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 15 July 2026