Number dictionary · Exact arithmetic
118: factors and number facts
one hundred eighteen is an even number and is composite. Its 4 positive divisors form 2 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- one hundred eighteen
- Roman numeral
- CXVIII
- Prime factorization
- 2 × 59
- Digital root
- 1
All factors of 118
A positive factor divides 118 with no remainder. In ascending order, the complete list is:
1, 2, 59, 118
Factor pairs
- 1 × 118 = 118
- 2 × 59 = 118
Each pair describes an arrangement of 118 items into equal rows. The pairs have different row and column counts; 118 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 4
- Sum of all divisors
- 180
- Sum excluding 118
- 62
- Classification
- deficient
118 is deficient because its proper divisors add to 62, which is less than 118.
Prime factorization of 118
118 = 2 × 59
Repeated division, step by step
- 118 ÷ 2 = 59
- 59 ÷ 59 = 1
Multiply the prime divisors in these steps to reconstruct 118. Each prime in this factorization occurs once. The divisor-count calculation is (1 + 1) × (1 + 1) = 4.
The preceding prime is 113. The next larger prime is 127. The factor list above explains why 118 is composite.
Learn the factorization method118 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | one hundred eighteen |
| Roman numeral | CXVIII |
| Binary (base 2) | 1110110 |
| Octal (base 8) | 166 |
| Decimal (base 10) | 118 |
| Hexadecimal (base 16) | 76 |
Check the binary conversion
Read 1110110 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
64 + 32 + 16 + 4 + 2 = 118
Check the hexadecimal conversion
7 × 16^1 + 6 × 16^0 = 118
Hexadecimal uses A through F for digit values 10 through 15. These notations represent the same quantity; changing the base does not change the integer.
Square, cube and square root of 118
- 118 squared
- 118 × 118 = 13,924
- 118 cubed
- 118 × 118 × 118 = 1,643,032
- Square root
- ≈ 10.862780
- Simplified radical
- √118
118 lies between 100 (10²) and 121 (11²), so it is not a perfect square. It is not a perfect cube.
118 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 118.
Distinguish a square from a square rootMultiplication table for 118
These are the first twelve positive multiples. Unlike the finite factor list, the sequence of multiples continues without an upper limit.
Divisibility checks
| Divide by | Whole quotient | Remainder | Divides exactly? |
|---|---|---|---|
| 2 | 59 | 0 | Yes |
| 3 | 39 | 1 | No |
| 4 | 29 | 2 | No |
| 5 | 23 | 3 | No |
| 6 | 19 | 4 | No |
| 7 | 16 | 6 | No |
| 8 | 14 | 6 | No |
| 9 | 13 | 1 | No |
| 10 | 11 | 8 | No |
| 11 | 10 | 8 | No |
| 12 | 9 | 10 | No |
For example, 118 = 7 × 16 + 6. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 118
118 contains 3 decimal digits. Its digit sum is 1 + 1 + 8 = 10.
- 118: 1 + 1 + 8 = 10
- 10: 1 + 0 = 1
The digital root is 1. Reversing its digits gives 811; it is not a decimal palindrome. Digit patterns depend on the notation being used.
Digital-root arithmetic always finishes at a single digit for a positive integer. Some numerology methods stop at 11, 22 or 33 instead; that is a separate interpretive convention.
Fractions and a worked comparison
As a fraction of 100, 118/100 simplifies to 59/50 by dividing both terms by their greatest common divisor, 2. Its decimal value is 1.18. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 118 and 12 is 2. Their least common multiple is 708. The identity GCD × LCM = 118 × 12 = 1416 checks both results.
Work through GCF and LCMQuestions about 118
What are the factors of 118?
The positive factors are 1, 2, 59, 118. There are 4 factors, including 1 and 118.
Is 118 a prime number?
No. 118 is composite: 2 × 59 = 118.
How do you write 118 in Roman numerals?
118 is CXVIII in standard subtractive Roman numeral notation.
What is the binary representation of 118?
118 in decimal is 1110110 in base 2. Adding its active place values gives 64 + 32 + 16 + 4 + 2 = 118.
Methods and reference definitions
Number JD calculates each result from the integer on this page. Positive factors are enumerated in pairs; repeated division gives the prime factorization; place values verify base conversions. Decimal square roots are rounded to six places when irrational.
NUMBER JOURNAL / JD
A reflective note on 118
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 118 add to 10. That arithmetic result is separate from the cultural symbolism of the pattern. If this number matters to you, write down what you noticed and choose one grounded action rather than treating the sighting as a prediction.