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DIVISIBILITY EQUIVALENCES
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The concepts for this exercise are summarized below.
For a complete discussion, read the text.
The following four sentences are equivalent:
that is, they are true at the same
time, and false at the same time:
The number n is divisible by k .
The number n is a multiple of k .
The number k is a factor of n .
The number k goes into n evenly.
EXAMPLES:
Compare the two sentences, and decide if they are equivalent, or not equivalent:
" m is divisible by j "
" j goes into m evenly "
Answer: equivalent
Compare the two sentences, and decide if they are equivalent, or not equivalent:
" n is a multiple of k "
" n is a factor of k "
Answer: not equivalent