164 in Roman numerals
164 in Roman numerals
CLXIV
164 is written CLXIV in Roman numerals. That is 4 symbol groups added together, reading left to right from the largest value down.
How it breaks down
| Group | Value | Subtraction | Running total |
|---|---|---|---|
| C | 100 | — | 100 |
| L | 50 | — | 150 |
| X | 10 | — | 160 |
| IV | 4 | V − I | 164 |
Why the smaller symbol comes first
CLXIV uses subtractive notation in one place: IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.
Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.
The symbols
| Symbol | Value | Used here |
|---|---|---|
| I | 1 | yes — 1× |
| V | 5 | yes — 1× |
| X | 10 | yes — 1× |
| L | 50 | yes — 1× |
| C | 100 | yes — 1× |
| D | 500 | no |
| M | 1,000 | no |
The same number, other ways
- In words
- One hundred sixty-four
- Roman numeral
- CLXIV
- Symbol count
- 5 characters
- Binary
- 10100100
- Hexadecimal
- A4
The numbers either side
| Number | Roman numeral |
|---|---|
| 162 | CLXII |
| 163 | CLXIII |
| 164 | CLXIV ← |
| 165 | CLXV |
| 166 | CLXVI |
Common questions
- What is 164 in Roman numerals?
- 164 is CLXIV.
- What does CLXIV mean?
- CLXIV is the Roman numeral for 164 — 100 + 50 + 10 + 4.
- How do you write 164 in Roman numerals?
- Take the largest value that fits and repeat until nothing is left: C (100), then L (50), then X (10), then IV (4). That gives CLXIV.
Related pages
- 162 in Roman numerals CLXII
- 163 in Roman numerals CLXIII
- 165 in Roman numerals CLXV
- 166 in Roman numerals CLXVI
- 4 in Roman numerals IV
- 9 in Roman numerals IX
- 14 in Roman numerals XIV
- 19 in Roman numerals XIX
- 40 in Roman numerals XL
- 42 in Roman numerals XLII
- 49 in Roman numerals XLIX
- 50 in Roman numerals L
Sources
- Calculated on this page — At One Place