# Duodecimal

## base twelve number system / From Wikipedia, the free encyclopedia

The **duodecimal** system (also known as **base 12** or **dozenal**) is the number system with a base of twelve. In the duodecimal system, large numbers are expressed by groups of 12. For example, the number fifty (which we usually write as 50) would be written as 42 in the duodecimal system, since it is equal to 4×12+2.

The number 12 is the smallest number that has four factors (2, 3, 4, 6). If one divides the numbers 10 and 12 with 3, the results will be 3.333... and 4, respectively. Doing the same thing with 6, the results will be 1.666... and 2. So, the duodecimal system can control the fractions better than the decimal system.