360
360 is a highly composite number, the count of degrees in a full circle.
- Even
- Composite
Where 360 fits
Why 360 is special
360's exceptional divisibility (24 divisors) is the mathematical reason the ancient Babylonian sexagesimal system chose it to divide the circle — geometry and an ancient number system converge on the same value.
Why are there 360 degrees in a circle?
- 360 is highly composite for its size, with 24 divisors — very convenient for splitting a circle into equal, whole-number parts (halves, thirds, quarters, fifths, sixths, and more).
- The value is widely linked to Babylonian base-60 mathematics (360 = 6 × 60) and to early approximations of the number of days in a year.
- Like many inherited conventions, 360 persisted because switching an already-standardised measurement system has a high cost, not because it's the only workable choice.
360 is part of
Factors & digit properties
- Divisors (24)
- 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
- Prime factorisation
- 2^3 × 3^2 × 5
- Digit sum
- 9
- Digital root
- 9
Representations
- Decimal
- 360
- Binary
- 101101000
- Octal
- 550
- Hexadecimal
- 168
- Roman numeral
- CCCLX
- Scientific notation
- 3.600 × 10^2
Other mathematical patterns
- Abundant number
- Highly composite number
- Harshad (Niven) number
Related numbers & connections
12 divides 360 evenly (360 = 12 × 30).
View 12 →360 is the conventional number of degrees in a full circle.
The 360-degree circle is widely believed to derive from Babylonian base-60 counting.
Mathematically related
- has factor12
why?
Strength 0.50, confidence "high".
Shares a distinctive class
- is associated withCircle geometry
why?
Strength 0.50, confidence "high".
Other connections
- developed fromBabylonian sexagesimal (base-60) system
why?
Strength 0.50, confidence "medium".
History
The 360-degree circle is widely believed to derive from the Babylonian sexagesimal (base-60) number system, combined with an approximate 360-day count used in some early calendars; 360's high divisor count (24 divisors) made it practical for dividing angles evenly.
DocumentedHistory
Common questions
Is 360 a prime number?
No, 360 is not prime.
What are the factors of 360?
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.
What is 360 in Roman numerals?
360 in Roman numerals is CCCLX.
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: 15 July 2026