300 (number)

300 is a natural number that lies between 299 and 301. It equals three hundred, or 3 × 100. Like other integers, it is used in counting, measurement, and notation.

In the decimal number system, 300 consists of three hundreds, with zero tens and zero ones. It is divisible by 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 50, 60, 75, 100, and 150, all of which are its divisors.

Mathematical properties

The prime factorization of 300 is 2² × 3 × 5². This means it is not a prime number—it has divisors other than 1 and itself. In another sense, 300 is a triangular number, being the sum of the integers from 1 to 24: 1+2+3+...+24 = 300.

300 is not a perfect square. No natural number when squared equals 300, since 17² = 289 and 18² = 324. The square root of 300 is approximately 17.32.

Notation and other systems

In Roman numerals, 300 is written as CCC, where C stands for one hundred. In hexadecimal, 300 is 12C, and in binary it is 100101100. In the Greek alphabet, the letter τ (tau) represents 300 when letters are used for numerals.

General use

300 appears in common measurements and estimates: for example, in speeds, weights, and production quantities. It is also chosen for threshold or rating purposes because it is a convenient number with many divisors.