Number dictionary · Exact arithmetic
104: factors and number facts
one hundred four is an even number and is composite. Its 8 positive divisors form 4 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- one hundred four
- Roman numeral
- CIV
- Prime factorization
- 2^3 × 13
- Digital root
- 5
All factors of 104
A positive factor divides 104 with no remainder. In ascending order, the complete list is:
1, 2, 4, 8, 13, 26, 52, 104
Factor pairs
- 1 × 104 = 104
- 2 × 52 = 104
- 4 × 26 = 104
- 8 × 13 = 104
Each pair describes an arrangement of 104 items into equal rows. The pairs have different row and column counts; 104 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 8
- Sum of all divisors
- 210
- Sum excluding 104
- 106
- Classification
- abundant
104 is abundant because its proper divisors add to 106, which is greater than 104.
Prime factorization of 104
104 = 2^3 × 13
Repeated division, step by step
- 104 ÷ 2 = 52
- 52 ÷ 2 = 26
- 26 ÷ 2 = 13
- 13 ÷ 13 = 1
Multiply the prime divisors in these steps to reconstruct 104. An exponent records how many times the same prime occurs. The divisor-count calculation is (3 + 1) × (1 + 1) = 8.
The preceding prime is 103. The next larger prime is 107. The factor list above explains why 104 is composite.
Learn the factorization method104 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | one hundred four |
| Roman numeral | CIV |
| Binary (base 2) | 1101000 |
| Octal (base 8) | 150 |
| Decimal (base 10) | 104 |
| Hexadecimal (base 16) | 68 |
Check the binary conversion
Read 1101000 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 + 8 = 104
Check the hexadecimal conversion
6 × 16^1 + 8 × 16^0 = 104
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 104
- 104 squared
- 104 × 104 = 10,816
- 104 cubed
- 104 × 104 × 104 = 1,124,864
- Square root
- ≈ 10.198039
- Simplified radical
- 2√26
104 lies between 100 (10²) and 121 (11²), so it is not a perfect square. It is not a perfect cube.
104 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 104.
Distinguish a square from a square rootMultiplication table for 104
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 | 52 | 0 | Yes |
| 3 | 34 | 2 | No |
| 4 | 26 | 0 | Yes |
| 5 | 20 | 4 | No |
| 6 | 17 | 2 | No |
| 7 | 14 | 6 | No |
| 8 | 13 | 0 | Yes |
| 9 | 11 | 5 | No |
| 10 | 10 | 4 | No |
| 11 | 9 | 5 | No |
| 12 | 8 | 8 | No |
For example, 104 = 7 × 14 + 6. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 104
104 contains 3 decimal digits. Its digit sum is 1 + 0 + 4 = 5.
- 104: 1 + 0 + 4 = 5
The digital root is 5. Reversing its digits gives 401; 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, 104/100 simplifies to 26/25 by dividing both terms by their greatest common divisor, 4. Its decimal value is 1.04. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 104 and 12 is 4. Their least common multiple is 312. The identity GCD × LCM = 104 × 12 = 1248 checks both results.
Work through GCF and LCMQuestions about 104
What are the factors of 104?
The positive factors are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 factors, including 1 and 104.
Is 104 a prime number?
No. 104 is composite: 2^3 × 13 = 104.
How do you write 104 in Roman numerals?
104 is CIV in standard subtractive Roman numeral notation.
What is the binary representation of 104?
104 in decimal is 1101000 in base 2. Adding its active place values gives 64 + 32 + 8 = 104.
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 104
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 104 add to 5. 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.