Divide
المؤلف:
Hardy, G. H. and Wright, E. M
المصدر:
An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, 1979.
الجزء والصفحة:
...
1-11-2019
1285
Divide
To divide is to perform the operation of division, i.e., to see how many times a divisor 
goes into another number 
. 
divided by 
is written 
or 
. The result need not be an integer, but if it is, some additional terminology is used. 
is read "
divides 
" and means that 
is a divisor of 
. In this case, 
is said to be divisible by 
. Clearly, 
and 
. By convention, 
for every 
except 0 (Hardy and Wright 1979, p. 1). The "divisibility" relation satisfies
where the symbol 
means implies.
is read "
does not divide 
" and means that 
is not a divisor of 
. 
means 
divides 
exactly. If 
and 
are relatively prime, the notation 
or sometimes 
is used.
REFERENCES:
Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, 1979.
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