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Having 60 minutes in an hour rather than, for example, 100 minutes, means that you can divide it into a relatively wide choice of smaller blocks of time consisting of whole numbers. That is, 60 is nicely divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 without any fraction.

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Another reason for using the number sixty is that it's the largest amount you can count with one hand the way they did in old days (biblical times). People counted with only one hand because the other hand was usually holding something else (the product which was being bought, a staff, a sword, etc.), for counting beyond the number five with one hand the solution was to count the phalanxes of the four fingers with the thumb. Four fingers with three phalanxes count 12. For counting more than twelve they used the other hand to sum multiples of twelve and a full hand is five times twelve, thus 60.

This method is still used in many Arabic countries, especially by the less favored or less alphabetized.

It is also tied in connection with degrees (degrees (angles or rotation) are split up into 60 minutes)

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