Milli to Micro – home
Updated June 27, 202611 min read

The Complete SI Prefix Conversion Chart: Pico to Giga

The definitive SI prefix conversion chart covering pico, nano, micro, milli, kilo, mega, and giga. Every prefix, every factor, worked examples across 8 unit types, and the rule that prevents 1,000× errors.

The International System of Units (SI) uses a single mechanism to express any quantity at any scale: a prefix multiplied by a base unit. One prefix, one rule, infinite range. A kilogram and a microgram are the same unit — gram — shifted by nine orders of magnitude using two prefixes. A nanosecond and a megasecond are the same unit — second — shifted by fifteen.

This is the complete reference. Every major SI prefix, its exact multiplier, its symbol, and how it converts to the prefixes beside it. Bookmark it. The rule that prevents 1,000× errors is at the end.

The Complete SI Prefix Chart

PrefixSymbolPowerMultiplierRelative to Base
GigaG10⁹1,000,000,000× 1,000,000,000
MegaM10⁶1,000,000× 1,000,000
Kilok10³1,000× 1,000
Hectoh10²100× 100
Decada10¹10× 10
— (base)10⁰1× 1
Decid10⁻¹0.1÷ 10
Centic10⁻²0.01÷ 100
Millim10⁻³0.001÷ 1,000
Microµ10⁻⁶0.000001÷ 1,000,000
Nanon10⁻⁹0.000000001÷ 1,000,000,000
Picop10⁻¹²0.000000000001÷ 1,000,000,000,000
Femtof10⁻¹⁵10⁻¹⁵÷ 10¹⁵

All 20+ SI prefixes are defined by BIPM in the official SI Brochure. The 12 above cover 99% of engineering and scientific use.

The One Rule Behind All of It

The SI prefix system is built on powers of ten. Converting between any two prefixes means finding the difference in their exponents and applying it as a power of 10.

Between adjacent major prefixes (giga ↔ mega ↔ kilo ↔ base ↔ milli ↔ micro ↔ nano ↔ pico): each step is exactly ×1,000 (10³).

graph LR
    G[Giga<br>10⁹] -->|"÷ 1,000"| M[Mega<br>10⁶]
    M -->|"÷ 1,000"| K[Kilo<br>10³]
    K -->|"÷ 1,000"| B[Base<br>10⁰]
    B -->|"÷ 1,000"| Mi[Milli<br>10⁻³]
    Mi -->|"÷ 1,000"| Mc[Micro<br>10⁻⁶]
    Mc -->|"÷ 1,000"| N[Nano<br>10⁻⁹]
    N -->|"÷ 1,000"| P[Pico<br>10⁻¹²]
    style G fill:#1e1b4b,color:#fff
    style M fill:#312e81,color:#fff
    style K fill:#4c1d95,color:#fff
    style B fill:#6d28d9,color:#fff
    style Mi fill:#7c3aed,color:#fff
    style Mc fill:#a855f7,color:#fff
    style N fill:#c084fc,color:#111
    style P fill:#e9d5ff,color:#111

Count the steps between any two prefixes. Multiply by 1,000 per step going down (toward smaller). Divide by 1,000 per step going up (toward larger).

Examples:

  • Kilo → milli: 2 steps down → ×1,000,000 (1 km = 1,000,000 mm)
  • Micro → nano: 1 step down → ×1,000 (1 µs = 1,000 ns)
  • Nano → kilo: 4 steps up → ÷1,000,000,000,000 (1 nm = 0.000000000001 km)
  • Giga → micro: 5 steps down → ×10¹⁵ (1 GHz = 1,000,000,000,000,000 µHz)

Quick-Convert Calculator

MilliEnter your value in Milli
Fromm
MicroEnter your value in Micro
Toµ
Result
1,000 µ-unit
Scientific Notation
1 × 10³ µ-unit
Real-World Context
A milli-unit is exactly 1/1,000th of its base unit.
Step-by-Step
1. Start with 1 m-unit. 2. Since 1 milli-unit = 1,000 micro-units, multiply by 1,000. 3. 1 × 1,000 = 1,000 µ-unit.
Formula Used
× 1,000 (milli = 10⁻³, micro = 10⁻⁶)

Quick Conversions

Mega1.000000e-9 M-unit
Kilo0.000001 k-unit
Base Unit (base units (unit))0.001 base
Nano1,000,000 n-unit
Pico1.000000e+9 p-unit

For specific unit pairs, use the dedicated converters: mm to µm · mA to µA · mV to µV · mg to µg · ms to µs · mL to µL · mF to µF · mW to µW · browse all 40 converters.


Prefix-to-Prefix Conversion Tables

The Four Most Common Engineering Steps

These four adjacent-prefix conversions cover the vast majority of errors seen in practice.

Kilo ↔ Base ↔ Milli (3 steps, ×1,000 each)

KiloBaseMilli
1 km1,000 m1,000,000 mm
1 kg1,000 g1,000,000 mg
1 kHz1,000 Hz1,000,000 mHz
1 kV1,000 V1,000,000 mV

Milli ↔ Micro (1 step, ×1,000)

The most common prefix confusion in electronics, medicine, chemistry, and computing. Every post in this series covers a domain-specific application.

MilliMicroDomain
1 mm1,000 µmMachining tolerance
1 mA1,000 µABattery life / IoT
1 mV1,000 µVSignal chain / sensors
1 mg1,000 µgDrug dosing
1 ms1,000 µsLatency / timing
1 mL1,000 µLLab pipetting
1 mF1,000 µFCapacitor selection
1 mH1,000 µHInductor / RF / SMPS
1 mW1,000 µWPower budgeting
1 mΩ1,000 µΩShunt / trace resistance
1 mS1,000 µSWater conductivity
1 mbar1,000 µbarPressure systems
1 mmol1,000 µmolLab chemistry / clinical

Micro ↔ Nano (1 step, ×1,000)

MicroNanoDomain
1 µm1,000 nmSemiconductor fab / optics
1 µs1,000 nsCPU clock cycles / RF
1 µA1,000 nAUltra-low-power sensing
1 µF1,000 nFFilter / coupling caps
1 µW1,000 nWRF energy harvesting

Nano ↔ Pico (1 step, ×1,000)

NanoPicoDomain
1 nA1,000 pALeakage current, photodetectors
1 nF1,000 pFRF / microwave capacitors
1 ns1,000 psHigh-speed digital, RF timing
1 nm1,000 pmX-ray crystallography, atomic radii

The Same Rule Across Every Physical Quantity

The prefix is independent of the base unit. The multiplication factor is the same whether you are working in length, current, mass, time, voltage, or energy. This is the power of the SI system — one mental model covers all quantities.

Full Cross-Prefix Reference: Length

PrefixValueEquivalent toReal-World Scale
1 km10³ m1,000 mCity block to city distance
1 m10⁰ m1 mHuman-scale baseline
1 cm10⁻² m0.01 mFingernail width
1 mm10⁻³ m0.001 mPencil tip
1 µm10⁻⁶ m0.000001 mBacterium, machining tolerance
1 nm10⁻⁹ m0.000000001 mDNA strand width, chip gate
1 pm10⁻¹² m0.000000000001 mAtomic radius

Full Cross-Prefix Reference: Time

PrefixValueEquivalentReal-World Scale
1 Ms10⁶ s~11.6 daysLong operations
1 ks10³ s~16.7 minBatch processing
1 s10⁰ s1 secondHuman perception baseline
1 ms10⁻³ s0.001 sEye blink, UI responsiveness
1 µs10⁻⁶ s0.000001 sMicrocontroller instruction
1 ns10⁻⁹ s0.000000001 sCPU clock cycle
1 ps10⁻¹² s0.000000000001 sRF signal propagation

Full Cross-Prefix Reference: Electric Current

PrefixValueEquivalentReal-World Scale
1 A10⁰ A1 amperePower device baseline
1 mA10⁻³ A0.001 AActive IoT/LED current
1 µA10⁻⁶ A0.000001 ASleep current
1 nA10⁻⁹ A0.000000001 ACMOS leakage
1 pA10⁻¹² A0.000000000001 APhotodetector, ion channel

The Direction Rule: Never Guess

When converting between prefixes, the direction is the most common error point. Use this test every time:

Moving to a smaller unit → number gets larger. Moving to a larger unit → number gets smaller.

ConversionDirectionFactorExample
milli → microsmaller unit×1,0005 mA → 5,000 µA
micro → millilarger unit÷1,0002,500 µs → 2.5 ms
kilo → milli2 steps smaller×1,000,0002 km → 2,000,000 mm
nano → micro1 step larger÷1,00047,000 ns → 47 µs
micro → nano1 step smaller×1,0000.1 µF → 100 nF

If your converted number shrank while you moved to a smaller unit, you divided when you needed to multiply. The error is always in the direction, never in the factor.


Frequently Asked Questions

What is the difference between metric prefixes and SI prefixes? SI prefixes are the internationally standardized set defined by the BIPM (Bureau International des Poids et Mesures). "Metric prefixes" is informal shorthand for the same set. All SI prefixes are metric; all standard metric prefixes are SI.

Which prefix is 1,000 times smaller than milli? Micro (µ). 1 milli = 1,000 micro. The next step below micro is nano — 1,000 times smaller than micro, 1,000,000 times smaller than milli.

How many nanometers are in a millimeter? 1 mm = 1,000 µm = 1,000,000 nm. Two steps on the prefix ladder (milli → micro → nano), each ×1,000, gives ×1,000,000 total.

What is the difference between µ (micro) and m (milli) in a unit symbol? Capitalization and the symbol itself both matter. m = milli (10⁻³). µ = micro (10⁻⁶). M = mega (10⁶). These are distinct — mA (milliampere) and µA (microampere) are 1,000× different currents. In plain text where µ is unavailable, "u" is the accepted ASCII substitute (uA, um, us).

How do I remember the prefix order from large to small? A common mnemonic for the major prefixes from large to small: "Good Mechanics Know How Dirty Centimeters Make Measuring Nasty, Particularly Frustrating" — Giga, Mega, Kilo, Hecto, Deca, Centi, Milli, Micro, Nano, Pico, Femto. The ones that matter most in engineering: Giga–Kilo–Base–Milli–Micro–Nano–Pico, each 1,000× from its neighbor.

Where can I convert specific unit pairs? Use the dedicated converters: mm to µm, mA to µA, mV to µV, mg to µg, ms to µs, mL to µL, mF to µF, mW to µW, or browse all 40 converters.


Next: See how getting these prefixes wrong has shut down factories, recalled products, and cost lives — How Wrong Units Cost Engineers Millions: Real-World Conversion Disasters.

Sources

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