Number reference
300 explained.
300: three hundred, composite, triangular number; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- three hundred
- Classification
- composite
- Factors
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
- Prime factorization
- 2 × 2 × 3 × 5 × 5
- Square root
- 17.320508
- Cube root
- 6.69433
- Binary
- 100101100
- Octal
- 454
- Hexadecimal
- 12C
- Roman numeral
- CCC
- Digit sum
- 3
- Digital root
- 3
What makes 300 notable
- Triangular number. 300 is the 24th triangular number: it is the sum 1 + 2 + … + 24, the count of items in a triangle with 24 rows.
300 in everyday use
Three hundred is a perfect game in ten-pin bowling: twelve consecutive strikes, the highest score the rules allow. It is the number of Spartans said to have held the pass at Thermopylae in 480 BC, retold in Frank Miller's comic and the 2006 film both titled 300. A baseball hitter who bats .300 gets a hit three times in ten and is considered excellent. In Roman numerals it is CCC, and HTTP status 300 signals that a request has multiple possible responses.
It is a triangular number, the sum of the whole numbers from 1 to 24, and factors as 2² × 3 × 5², giving eighteen divisors. It is also the sum of ten consecutive primes: 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47. It is 100101100 in binary and 12C in hexadecimal, its digit sum is 3, and it is the number of degrees in five sixths of a turn, the direction a clock hand points at ten.
Nearby numbers
How to read this page
The factor list shows every way 300 splits into equal whole-number groups — 18 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 300 for contexts that do not use decimal.
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