231 in Roman Numerals
2026-02-28 17:47 Diff
https://brightchamps.com/en-us/math/numbers/231-in-roman-numerals

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Last updated on August 5, 2025

Roman numerals are a way of expressing numbers using symbols. I, V, X, L, C, D, and M are the symbols we use. Roman numerals are used in royal titles, book names, sequences, and so on. Here we will discuss Roman numerals, rules, and examples.

What is 231 in Roman Numerals?

The royal titles, such as Henry I, Henry II, and so on. Have you noticed the names and wondered what these symbols (I and II) represented? Those are the Roman numerals.

Earlier, people used fingers, sticks, bones, etc., to count. When life became complex, a standard form was required for counting. Ancient Romans used the Roman numeral system to count. I (1), V (5), X (10), L (50), C (100), D (500), and M (1000) are the symbols we use to count.

In Roman numerals, we use CCXXXI to represent 231, where C is 100, X is 10, and I is 1. Let’s learn more about Roman numerals and how we write them.


 

Basic Rules for 231 in Roman Numerals

There are certain basic rules to write a number in Roman numerals. In this section, let’s discuss some basic rules that need to be remembered when writing a number in Roman numerals.

Rule 1: Addition Method

The addition method is used when a smaller number is placed after a larger number. For example, CCXXXI → C + C + X + X + I → 100 + 100 + 10 + 10 + 1 = 231.

Rule 2: Repetition Method

To write a large number, certain Roman numerals can be repeated up to three times. For example, III → 3.

Rule 3: Subtraction Method

If a small number is followed by a large number in Roman numerals, we subtract the smaller number from the larger number. For example, IX → X - I → 10 - 1 = 9.

Rule 4: Limitation Rule

The symbols cannot be repeated more than three times, and some symbols like V, L, and D cannot be repeated. For example, we won't write VV for 10; instead, we use X. For 8, we write VIII, not IIIIIIII.

How to Write 231 in Roman Numerals

Let’s now learn how to write 231 in Roman numerals. Follow these methods to write the number in Roman numerals.

  • By Expansion Method
  • By Grouping Method
     

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231 in Roman Numerals by Expansion Method


In the expansion method, based on the place value, the number is broken down. In this section, we will learn how to write 231 in Roman numerals using the expansion method.

To write 231 in Roman numerals, follow the steps:

Step 1: Break the number based on the place value. Place values are ones, tens, hundreds, etc.

For 231, we write it as 200 + 30 + 1.

Step 2: Convert the numbers into Roman numerals.

  • 200 in Roman numerals — CC
  • 30 in Roman numerals — XXX
  • 1 in Roman numerals — I

Step 3: Combine the Roman numerals together.

Therefore, 231 in Roman numerals is CC (200) + XXX (30) + I (1) = CCXXXI.

231 in Roman Numerals by Grouping Method

When writing a large number into Roman numerals, we group the number.

To write 231 in Roman numerals, we group 231 as 200 + 30 + 1.

  • 200 in Roman numerals — CC
  • 30 in Roman numerals — XXX
  • 1 in Roman numerals — I

So, 231 is written as CCXXXI in Roman numerals.

Common Mistakes and How to Avoid Them in 231 Roman Numerals

Students make mistakes when writing a number in Roman numerals. To master Roman numerals, we can learn a few common mistakes and ways to avoid them.

Problem 1

A historian is cataloging ancient artifacts and finds CCXXI coins in one chest and X coins in another. How many coins are there in total?

Okay, lets begin

The total number of coins is CCXXXI.
 

Explanation

To find the total, we add the numbers:


CCXXI = 221


X = 10


221 + 10 = 231


231 in Roman Numerals is CCXXXI.

Well explained 👍

Problem 2

A museum receives a donation of CCCXXXI artifacts, which need to be distributed evenly across XXIII display rooms. How many artifacts will each room contain?

Okay, lets begin

Each room will contain XV artifacts.
 

Explanation

To find the number of artifacts per room, we divide the total number of artifacts by the number of rooms:


CCCXXXI = 331


XXIII = 23


331 / 23 = 15


15 in Roman Numerals is XV.

Well explained 👍

Problem 3

An ancient scroll mentions the year CC and a later year as CCXXXI. How many years passed between these two dates?

Okay, lets begin

The number of years that passed is XXXI.
 

Explanation

To find the difference in years, we subtract the earlier year from the later year:


CCXXXI = 231


CC = 200


231 - 200 = 31


31 in Roman Numerals is XXXI.

Well explained 👍

Problem 4

A mathematician is studying sequences and notes that one sequence starts at XI and ends at CCXX. How many terms are in the sequence if it increases by X each time?

Okay, lets begin

There are XXII terms in the sequence.
 

Explanation

To find the number of terms, we determine how many times X can be added to XI before reaching CCXX:


CCXX = 220


XI = 11


(220 - 11) / 10 = 20.9, rounded down to 20.


Including the first term (XI), there are 21 terms.


21 in Roman Numerals is XXI.

Well explained 👍

Problem 5

Convert the sum of 115 and 116 into Roman numerals using the expansion method.

Okay, lets begin

The sum of 115 and 116 is CCXXXI.
 

Explanation

Step 1: Convert the numbers 115 and 116 into Roman numerals:


115 - CXV


116 - CXVI

Add the numbers together: 115 + 116 = 231


Using the expansion method: 231 = 200 + 30 + 1 = CCXXXI.

Well explained 👍

FAQs on 231 in Roman Numerals

1.What is 9 in Roman numerals?

IX is 9, as it has smaller numbers following larger ones using the subtraction method. That is I - X, which is 10 - 1 = 9.

2.How to write 231 in Roman numerals?

Here the larger numbers are followed by smaller ones, so we use the addition method. That is CC (200) + XXX (30) + I (1) = 231. So, CCXXXI is 231.
 

3.What is 236 in Roman Numerals?

236 in Roman numerals is written as CCXXXVI.

4.Is CCXXXI a prime number?

5.What are the multiples of 231?

The multiples of 231 are 231, 462, 693, 924, and so on.
 

Important Glossaries for 231 in Roman Numerals

  • Addition Rule: The addition method is used when a large number is followed by a smaller numeral, and the values are added. For example, CCXXXI = CC + XXX + I = 200 + 30 + 1 = 231.
  • Grouping Method: Here, the given numbers are grouped based on their place value and then converted into Roman numerals. For example, 231 = 200 + 30 + 1 = CCXXXI.
  • Repetition Rule: Certain symbols (I, X, C, M) in the Roman numeric system can be repeated only up to three times. For example, III = 3 (I is repeated three times to represent the number 3).
  • Subtraction Method: The subtraction method is used when a smaller numeral precedes a larger one, and the smaller value is subtracted from the larger one. For example, IX = X - I = 10 - 1 = 9.
  • Place Value: The numerical value that a digit has by virtue of its position in a number. For example, in 231, 2 represents 200, 3 represents 30, and 1 represents 1.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.