Math 35
A Survey of Mathematical Thought
Summer 2006
Assignment 4
Due Tuesday, July 18, at the beginning of class.
Chapter 2 exercises, p. 26-28, #2, 3, 5, 6, 21.
As always, be sure to show your work and justify your answers for full
points - a correct answer with no justification shown will not receive
full credit. In particular, on #2, if a number is composite,
indicate at least one set of its factors besides one and itself.
There are four points available for each question, so
20 is a perfect score on this assignment.
Recall the various divisibility tests:
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A number is divisible by...
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if...
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| 2 |
Its last digit is even (0, 2, 4, 6,
or 8)
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| 3 |
The sum of its digits is a multiple
of 3
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| 4 |
Its last two digits are a multiple of
4
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| 5 |
Its last digit is 0 or 5
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| 6 |
It is divisible by both 2 and 3
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| 8 |
Its last three digits are a multiple
of 8
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| 9 |
The sum of its digits is a multiple
of 9
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| 10 |
Its last digit is 0
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|