### Numbers: Integers

### Divisors

If someone has twelve marbles, these can be shared equally among three people. This is possible because #\blue 3# is a **divisor** of #\orange{12}#.

The number #\blue 3# is a **divisor **of #\orange{\orange{12}}#,

since #\orange{\orange{12}} \div \blue{3}# is exactly equal to #4#.

#\blue 1# is also a divisor of #\orange{12}#,

since #\orange{12} \div \blue 1={12}# is an integer.

The biggest divisor of #\orange{12}# is #\blue {12}# itself,

since #\orange{12} \div \blue{12}=1#.

The **divisors** of #\orange{12}# are #\blue 1,\blue 2,\blue 3,\blue 4,\blue 6# and #\blue{12}#. \[\begin{array}{rclcrcl}

\orange{12} \div \blue{1} &=& 12 &\text{and}& \orange{12} \div \blue{\blue{12}} &=& 1 \\

\orange{12} \div \blue{3} &=& 4 &\text{and} &\orange{12} \div \blue{4} &=& 3 \\

\orange{12} \div \blue{6} &=& 2 & \text{and}& \orange{12} \div \blue{2} &=&6 \end{array}\]

Since #24 \div 11# does not result in an integer, #11# is not a divisor of #24#.

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