If ab│c, show that a│c and b│c is true or false?
ab divides c. Is it necessarily true that a divides c and b divides c?
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ab divides c. Is it necessarily true that a divides c and b divides c?
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Yes, it is necessarily true.
If ab|c, then there is some integer x such that c = xab.
a|c because c/a = xb, which is an integer.
And b|c because c/b = xa which is also an integer.