168
168 is the number of hours in a week: 7 × 24.
- Even
- Composite
Where 168 fits
Why 168 is special
168 is the budget everyone actually has. It is the arithmetic of the week — seven days of twenty-four hours — and it is the unit that time-use surveys, shift rotas and working-time regulations are built on, because the week rather than the day is the cycle most work repeats over.
Factors & digit properties
- Divisors (16)
- 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
- Prime factorisation
- 2^3 × 3 × 7
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 168
- Binary
- 10101000
- Octal
- 250
- Hexadecimal
- a8
- Roman numeral
- CLXVIII
- Scientific notation
- 1.680 × 10^2
Other mathematical patterns
- Abundant number
Related numbers & connections
168 is 7 x 24 — the week expressed in hours. It is the unit that shift rotas and working-time law are written in, because most obligations repeat weekly rather than daily.
View 24 →Everyday life
Time-use research and working-time law both work in weeks rather than days, because most obligations repeat weekly rather than daily. 168 is the fixed total that framing implies: the EU Working Time Directive's 48-hour average and the widely quoted 'eight hours work, eight hours rest, eight hours what we will' are both claims about how to divide it.
DocumentedEveryday life
Common questions
Is 168 a prime number?
No, 168 is not prime.
What are the factors of 168?
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
What is 168 in Roman numerals?
168 in Roman numerals is CLXVIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 3 August 2026