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Convert kilobytes to terabytes

1 KB = 1e-9 TB

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Questions

How many terabytes are in a kilobyte?

One kilobyte is 1e-9 terabytes. To convert any amount, multiply by 1e-9. Going the other way, one terabyte is 1000000000 kilobytes.

What is the formula to convert KB to TB?

Multiply the kilobyte figure by 1e-9. So TB = KB × 1e-9. For a quick mental estimate, dividing by about 1000000000 gets you close enough for most everyday purposes.

What does a kilobyte actually look like?

One kilobyte is a short email. A kilobyte is 1,000 bytes under the SI definition used by storage manufacturers and networking. Windows still labels 1,024 bytes as KB, which is the root of the 'missing space' on a new drive.

And what is a terabyte?

One terabyte is a large photo and video library. A terabyte is a trillion bytes. Consumer drives are sold in decimal terabytes, which is why a '2 TB' drive shows as roughly 1.82 TiB once formatted.

Why does my 1 TB drive show as only 931 GB?

Because two different definitions are in play. Storage manufacturers use decimal units — 1 TB means exactly one trillion bytes. Windows and many other systems display binary units but label them with decimal names, so they show that same drive as 931 "GB" when they mean 931 gibibytes. Nothing is missing and nothing is faulty; the drive holds exactly what it says, measured differently. The IEC standardised kibi, mebi and gibi in 1998 specifically to end this, but adoption has been patchy.

Is this conversion exact?

Yes — both decimal and binary prefixes are exactly defined powers, so every figure here is exact rather than approximate. The results are shown to seven significant figures; the underlying arithmetic uses full double precision.

About kb to tb

How to convert kilobytes to terabytes

Multiply by 1e-9. One kilobyte is 1e-9 terabytes, and one terabyte is 1000000000 kilobytes.

TB = KB × 1e-9

Worked example

500 KB = 5e-7 TB. For a sense of scale, one kilobyte is a short email, and one terabyte is a large photo and video library.

About the kilobyte

A kilobyte is 1,000 bytes under the SI definition used by storage manufacturers and networking. Windows still labels 1,024 bytes as KB, which is the root of the 'missing space' on a new drive.

About the terabyte

A terabyte is a trillion bytes. Consumer drives are sold in decimal terabytes, which is why a '2 TB' drive shows as roughly 1.82 TiB once formatted.

Quick reference

kilobytesterabytes
1 KB1e-9 TB
2 KB2e-9 TB
5 KB5e-9 TB
10 KB1e-8 TB
25 KB2.5e-8 TB
50 KB5e-8 TB
100 KB1e-7 TB
1000 KB0.000001 TB

Getting it right

The decimal and binary prefixes are the trap: a kilobyte is 1,000 bytes but a kibibyte is 1,024, and the gap compounds at every step until a terabyte and a tebibyte differ by about 10%. Storage manufacturers use decimal, operating systems often display binary, and neither is wrong — they are simply different units.

Other data size conversions

Convert terabytes back to kilobytes, or pick any other pair with the full unit converter. Related: KB to MB, KB to GB, KB to MiB.