Inseparable vs. Indivisible — What's the Difference?

Difference Between Inseparable and Indivisible
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Definitions
Inseparable➦
Unable to be separated or treated separately
Research and higher education seem inseparable
Indivisible➦
Incapable of undergoing division.
Inseparable➦
(of a prefix) not used as a separate word or (in German) not separated from the base verb when inflected.
Indivisible➦
(Mathematics) Incapable of being divided without a remainder
The number 15 is indivisible by 7.
Inseparable➦
A person or thing inseparable from another.
Indivisible➦
Incapable of being divided; atomic.
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Inseparable➦
Impossible to separate or part
Inseparable pieces of rock.
Indivisible➦
(arithmetic) Incapable of being divided by a specific integer without leaving a remainder.
Inseparable➦
Very closely associated; constant
Inseparable companions.
Indivisible➦
That which cannot be divided or split.
Inseparable➦
Unable to be separated; bound together permanently.
Indivisible➦
(geometry) An infinitely small quantity which is assumed to admit of no further division.
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Inseparable➦
Something that cannot be separated from something else.
Indivisible➦
Not divisible; incapable of being divided, separated, or broken; not separable into parts.
Inseparable➦
Not separable; incapable of being separated or disjoined.
The history of every language is inseparable from that of the people by whom it is spoken.
Liberty and union, now and forever, one and inseparable.
Indivisible➦
Not capable of exact division, as one quantity by another; incommensurable.
Inseparable➦
Invariably attached to some word, stem, or root; as, the inseparable particle un-.
Indivisible➦
That which is indivisible.
By atom, nobody will imagine we intend to express a perfect indivisible, but only the least sort of natural bodies.
Inseparable➦
Not capable of being separated;
Inseparable pieces of rock
Indivisible➦
An infinitely small quantity which is assumed to admit of no further division.
Indivisible➦
Impossible of undergoing division;
An indivisible union of states
One nation indivisible