Number dictionary · Exact arithmetic
704: factors and number facts
seven hundred four is an even number and is composite. Its 14 positive divisors form 7 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- seven hundred four
- Roman numeral
- DCCIV
- Prime factorization
- 2^6 × 11
- Digital root
- 2
All factors of 704
A positive factor divides 704 with no remainder. In ascending order, the complete list is:
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Factor pairs
- 1 × 704 = 704
- 2 × 352 = 704
- 4 × 176 = 704
- 8 × 88 = 704
- 11 × 64 = 704
- 16 × 44 = 704
- 22 × 32 = 704
Each pair describes an arrangement of 704 items into equal rows. The pairs have different row and column counts; 704 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 14
- Sum of all divisors
- 1524
- Sum excluding 704
- 820
- Classification
- abundant
704 is abundant because its proper divisors add to 820, which is greater than 704.
Prime factorization of 704
704 = 2^6 × 11
Repeated division, step by step
- 704 ÷ 2 = 352
- 352 ÷ 2 = 176
- 176 ÷ 2 = 88
- 88 ÷ 2 = 44
- 44 ÷ 2 = 22
- 22 ÷ 2 = 11
- 11 ÷ 11 = 1
Multiply the prime divisors in these steps to reconstruct 704. An exponent records how many times the same prime occurs. The divisor-count calculation is (6 + 1) × (1 + 1) = 14.
The preceding prime is 701. The next larger prime is 709. The factor list above explains why 704 is composite.
Learn the factorization method704 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | seven hundred four |
| Roman numeral | DCCIV |
| Binary (base 2) | 1011000000 |
| Octal (base 8) | 1300 |
| Decimal (base 10) | 704 |
| Hexadecimal (base 16) | 2C0 |
Check the binary conversion
Read 1011000000 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
512 + 128 + 64 = 704
Check the hexadecimal conversion
2 × 16^2 + 12 × 16^1 + 0 × 16^0 = 704
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 704
- 704 squared
- 704 × 704 = 495,616
- 704 cubed
- 704 × 704 × 704 = 348,913,664
- Square root
- ≈ 26.532998
- Simplified radical
- 8√11
704 lies between 676 (26²) and 729 (27²), so it is not a perfect square. It is not a perfect cube.
704 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 704.
Distinguish a square from a square rootMultiplication table for 704
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 | 352 | 0 | Yes |
| 3 | 234 | 2 | No |
| 4 | 176 | 0 | Yes |
| 5 | 140 | 4 | No |
| 6 | 117 | 2 | No |
| 7 | 100 | 4 | No |
| 8 | 88 | 0 | Yes |
| 9 | 78 | 2 | No |
| 10 | 70 | 4 | No |
| 11 | 64 | 0 | Yes |
| 12 | 58 | 8 | No |
For example, 704 = 7 × 100 + 4. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 704
704 contains 3 decimal digits. Its digit sum is 7 + 0 + 4 = 11.
- 704: 7 + 0 + 4 = 11
- 11: 1 + 1 = 2
The digital root is 2. Reversing its digits gives 407; 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, 704/100 simplifies to 176/25 by dividing both terms by their greatest common divisor, 4. Its decimal value is 7.04. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 704 and 12 is 4. Their least common multiple is 2112. The identity GCD × LCM = 704 × 12 = 8448 checks both results.
Work through GCF and LCMQuestions about 704
What are the factors of 704?
The positive factors are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 factors, including 1 and 704.
Is 704 a prime number?
No. 704 is composite: 2^6 × 11 = 704.
How do you write 704 in Roman numerals?
704 is DCCIV in standard subtractive Roman numeral notation.
What is the binary representation of 704?
704 in decimal is 1011000000 in base 2. Adding its active place values gives 512 + 128 + 64 = 704.
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 704
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 704 add to 11. 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.