---
title: "164 in Roman numerals is CLXIV"
description: "164 in Roman numerals is CLXIV, written as 100 + 50 + 10 + 4. How it breaks down, how to write it, and the numbers either side."
url: https://atoneplace.net/roman-numerals/164/
site: "At One Place"
---

# 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

*CLXIV = 100 + 50 + 10 + 4 = 164*

| 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](https://atoneplace.net/roman-numerals/162/)
- [163 in Roman numerals](https://atoneplace.net/roman-numerals/163/)
- [165 in Roman numerals](https://atoneplace.net/roman-numerals/165/)
- [166 in Roman numerals](https://atoneplace.net/roman-numerals/166/)
- [4 in Roman numerals](https://atoneplace.net/roman-numerals/4/)
- [9 in Roman numerals](https://atoneplace.net/roman-numerals/9/)
- [14 in Roman numerals](https://atoneplace.net/roman-numerals/14/)
- [19 in Roman numerals](https://atoneplace.net/roman-numerals/19/)
- [40 in Roman numerals](https://atoneplace.net/roman-numerals/40/)
- [42 in Roman numerals](https://atoneplace.net/roman-numerals/42/)
- [49 in Roman numerals](https://atoneplace.net/roman-numerals/49/)
- [50 in Roman numerals](https://atoneplace.net/roman-numerals/50/)

## Sources

- Calculated on this page — At One Place (/about/)