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Nabu's Knee-knocker
In the World of Whole Numbers, a
new rule has been enacted at school to try to reduce the talking.

| For example, |
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10 can talk with 5, because
10 is a multiple of 5; and
5 can talk with 15, because 15 is a multiple of 5; but
10 cannot talk with 15 (directly), because 10 is not a multiple
of 15 and 15 is not a multiple of 10.
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| Problem 1.
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Try to find seven whole numbers
that can talk in this way, |

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but when there is no red cord
(connection) between two numbers (dots), the numbers cannot
talk to each other. |
| Problem 2.
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Try to find four whole numbers
that can talk in this way, |

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but so that the diagonal numbers
cannot talk (there is no red cord between them). |
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