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CFU Calculator (Colony-Forming Units per mL)

Calculate colony-forming units per mL from the colonies counted on a plate, the dilution plated and the volume plated, with a check against the countable range.

Formula

CFU/mL=colonies×DFVplated (mL)\mathrm{CFU/mL} = \dfrac{\text{colonies}\times \mathrm{DF}}{V_{\text{plated}}\,(\mathrm{mL})}
colonies\text{colonies}
colonies counted on the plate
DF\mathrm{DF}
fold dilution of the tube that was plated (10⁵ for a 10⁻⁵ dilution)
VplatedV_{\text{plated}}
volume spread or poured on the plate, in mL

How it works

Each colony on a plate is taken to have grown from one viable cell or clump, a colony-forming unit. Dividing the colony count by the volume plated gives the concentration in the diluted tube, and multiplying by the dilution factor scales that back to the original sample.

A count is only reliable within a countable range. The FDA's Bacteriological Analytical Manual uses 25 to 250 colonies per plate; below it the count is dominated by chance, and above it colonies crowd and merge.

Worked example

142 colonies grow from 0.1 mL of a 10⁻⁵ dilution.

  1. CFU/mL = 142 × 10⁵ / 0.1 mL = 1.42 × 10⁸.

The original sample contains 1.42 × 10⁸ CFU/mL (log₁₀ 8.15). The count is within the countable range.

These are the values the calculator opens with, so you can check its output against this example.

Assumptions

  • Each colony arose from a single colony-forming unit, which may be one cell or a clump or chain of cells.
  • The organism grows on the medium and under the conditions used. Cells that are viable but do not form colonies are not counted.

Common mistakes

  • Entering the dilution as 10⁻⁵ rather than as the factor 10⁵, or the reverse.
  • Forgetting the volume plated. Plating 0.1 mL adds a further factor of 10 compared with 1 mL.
  • Using a plate outside the countable range when a better plate from the same series is available.

Related equipment

Service documentation, failure modes and parts for the instruments this calculation is used with.