998 in Roman Numerals

998

C (subtracted)MX (subtracted)CVIII

nine hundred ninety-eight

How CMXCVIII is formed

PlaceValueSymbols
Hundreds900C (subtracted)M
Tens90X (subtracted)C
Units8VIII
Total998CMXCVIII

CMXCVIII is written one place at a time, from the largest to the smallest: CM (900) + XC (90) + VIII (8) = 998.

CM and XC are subtractive pairs: in each one the smaller symbol comes first and is taken away.

Common mistakes

Wrong: DCCCCXCVIII

Why isn't 998 written as DCCCCXCVIII?

A symbol can't be repeated four times in a row. 900 is CM (1000 − 100), not DCCCC, so 998 is CMXCVIII.

Wrong: CMLXXXXVIII

Why isn't 998 written as CMLXXXXVIII?

A symbol can't be repeated four times in a row. 90 is XC (100 − 10), not LXXXX, so 998 is CMXCVIII.

Wrong: DCCCCLXXXXVIII

Why isn't 998 written as DCCCCLXXXXVIII?

No symbol can be repeated four times in a row, so DCCCC and LXXXX are not used: 900 = CM, 90 = XC. Together they make CMXCVIII.

Numbers near 998

Properties of 998

Prime factors
2 × 499
Divisors
1, 2, 499, 998
Even or odd
Even
Prime number
No
Letters in CMXCVIII
8

998,000 in Roman numerals

With a bar over it (vinculum), C̅M̅X̅C̅V̅I̅I̅I̅ means 998 × 1,000 = 998,000. How Roman numerals work

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