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Metric Prefix Converter

Convert a value between any two SI prefixes, such as nano to micro, milli to kilo or giga to mega, for any unit you like. The math is done on the digits, so results have no rounding errors.

Last updated:

Only used as a label: m, g, s, Hz, W, V, Pa, B…

Unit power
Enter your values to see the result.
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How to use the Metric Prefix Converter

  1. Enter the value you want to convert.
  2. Type the base unit (m, g, Hz, W…) so the result is labeled; it does not change the math.
  3. Pick the From and To prefixes, e.g. kilo → milli.
  4. Choose Squared or Cubed if your unit is an area or volume such as km² or cm³.
  5. Read the result, the factor and the power-of-ten table for every prefix.

How metric prefix conversion works

A metric (SI) prefix is a power of ten placed in front of a unit: kilo means 10³, milli means 10⁻³, nano means 10⁻⁹. To convert, subtract the exponents and shift the decimal point:

result = value × 10(from exponent − to exponent) × power

Here power is 1 for ordinary units, 2 for squared units (area) and 3 for cubed units (volume). Example: 450 nm to µm is 450 × 10−9 − (−6) = 450 × 10⁻³ = 0.45 µm.

SI prefix chart (quecto to quetta)

PrefixSymbolFactorTypical use
quettaQ1030mass of Jupiter ≈ 1.9 Qg (quettagrams)
ronnaR1027Earth ≈ 5.97 Rg
yottaY1024Earth ≈ 5,972 Yg
zettaZ1021global data volume (ZB)
exaE1018exabyte-scale data centers
petaP1015petabytes of storage, petawatt lasers
teraT1012terabyte drives, terawatt-hours
gigaG109gigahertz CPUs, gigabytes
megaM106megapixels, megawatts
kilok103kilometers, kilograms
hectoh102hectares (hm²), hectopascals
decada101decaliters (rare)
(none) base unit—100meter, gram, second…
decid10-1decibels, deciliters
centic10-2centimeters
millim10-3milligrams, milliseconds
microµ10-6micrometers, microfarads
nanon10-9nanometers (light wavelength)
picop10-12picofarads, picoseconds
femtof10-15femtoseconds (laser pulses)
attoa10-18attoseconds (electron motion)
zeptoz10-21zeptoliters (single molecules)
yoctoy10-24yoctograms (proton ≈ 1.67 yg)
rontor10-27electron mass ≈ 0.000911 rg
quectoq10-30electron mass ≈ 911 qg

Tips to avoid prefix mistakes

  • Case matters: M (mega, 10⁶) and m (milli, 10⁻³) differ by a factor of a billion. Likewise P (peta) vs p (pico), Z vs z and Y vs y.
  • Use only one prefix per unit. Write nm, not mµm. The kilogram is the odd one out: its prefixes attach to the gram (mg, µg), never to "kg".
  • Areas and volumes need the exponent multiplied: 1 cm² = 100 mm², 1 cm³ = 1,000 mm³ = 1 mL.
  • Engineering notation uses only exponents that are multiples of 3 (k, M, G, m, µ, n). Centi, deci, deca and hecto are mainly used with meters, liters, grams and pascals.

Frequently asked questions

How do I convert between metric prefixes?

Subtract the exponents. Going from kilo (10³) to milli (10⁻³) is a factor of 10³⁻⁽⁻³⁾ = 10⁶, so 2.5 km = 2,500,000 mm. Moving to a smaller prefix makes the number bigger, and vice versa.

What are the newest SI prefixes?

In November 2022 the General Conference on Weights and Measures added ronna (R, 10²⁷), quetta (Q, 10³⁰), ronto (r, 10⁻²⁷) and quecto (q, 10⁻³⁰). They are included here alongside yocto through yotta.

Why does km² to m² give 1,000,000 and not 1,000?

The prefix belongs to the unit before it is squared: 1 km² = (1,000 m)² = 1,000,000 m². For cubed units the exponent is tripled, so 1 m³ = 1,000,000 cm³.

What is the symbol for micro?

Micro is the Greek letter µ (mu), meaning 10⁻⁶. When µ cannot be typed, "u" is often used, as in uF for microfarads or um for micrometers.

Are kilobytes 1,000 or 1,024 bytes?

In SI, kilo always means 1,000, so 1 kB = 1,000 bytes. The binary prefixes kibi (KiB = 1,024 B), mebi (MiB) and gibi (GiB) are separate IEC units. This converter uses the decimal SI prefixes.

What is the difference between deca, deci and deka?

Deca (da) means 10 and deci (d) means 1/10. "Deka" is the US spelling of deca. They are rarely used outside of a few units such as decibels and decaliters.

Are all the tools on FreeToolCabin tested for quality and accuracy?

Yes! Every tool on our site undergoes automated Q/A testing in real browser environments to ensure high precision, correct output, and zero errors. If you happen to spot a bug or have a suggestion, please contact us at [email protected] and our team will review it right away.

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