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Definition of indivisible : 1. An infinitely small quantity which is assumed to admit of no further division.
2. Not capable of exact division, as one quantity by another; incommensurable.
3. Not divisible; incapable of being divided, separated, or broken; not separable into parts.
4. That which is indivisible.

Synonyms:

among, divisible, permanent, corporate, common, calculable, undividable, unbreakable, binary, impenetrable, annualized, distributed, uneven, joined, hexadecimal, double-digit, average, even, personal, indivisible by, indiscrete, decimal, collective

consistent, connected, continuous, indissoluble, inseparable, conforming

entire, integral, cohesive, solid, undivided, integrated, congruous, intact, uniform, coincident, holistic, same, unified, congruent, single, united, complete, coherent, homogeneous

basic, irreducible, blameless, angelic, primal, pure, aboriginal, honorable, faultless, primary, undiluted, purebred, basal, guiltless, elemental, unadulterated, spotless, uncluttered, innocent, unsullied, undefiled, unblemished, elementary, sinless, fundamental, simon-pure, stainless, monolithic, prime, nascent, essential, austere, clear, stark, unadorned, white, unalloyed, virtuous, chaste, bare, decent, clean, atomic, untarnished, untainted, plain, immaculate, formative, foundational, simple

Usage examples:

• How solid and indivisible the dark masses appear and how difficult to realise as composed of innumerable single growths, each with its own roots, each by itself soaring towards heaven. - "Jeremiah", George Adam Smith.
• The first French Republic, one and indivisible, decreed a really charming form of address, which could be used without offence to the self- love or the self- respect of any one. - "Imaginary Interviews", W. D. Howells.
• These divisions were made by the learned in physic, and we follow them out in their efforts to divide what is in its nature indivisible, to satisfy the demands of the public, and to give it in small crumbs to those practitioners of the art who have not capacity enough to take in the whole at a single mouthful. - "The American Reformed Cattle Doctor", George Dadd.