Number dictionary · Exact arithmetic
740: factors and number facts
seven hundred forty is an even number and is composite. Its 12 positive divisors form 6 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- seven hundred forty
- Roman numeral
- DCCXL
- Prime factorization
- 2^2 × 5 × 37
- Digital root
- 2
All factors of 740
A positive factor divides 740 with no remainder. In ascending order, the complete list is:
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Factor pairs
- 1 × 740 = 740
- 2 × 370 = 740
- 4 × 185 = 740
- 5 × 148 = 740
- 10 × 74 = 740
- 20 × 37 = 740
Each pair describes an arrangement of 740 items into equal rows. The pairs have different row and column counts; 740 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 12
- Sum of all divisors
- 1596
- Sum excluding 740
- 856
- Classification
- abundant
740 is abundant because its proper divisors add to 856, which is greater than 740.
Prime factorization of 740
740 = 2^2 × 5 × 37
Repeated division, step by step
- 740 ÷ 2 = 370
- 370 ÷ 2 = 185
- 185 ÷ 5 = 37
- 37 ÷ 37 = 1
Multiply the prime divisors in these steps to reconstruct 740. An exponent records how many times the same prime occurs. The divisor-count calculation is (2 + 1) × (1 + 1) × (1 + 1) = 12.
The preceding prime is 739. The next larger prime is 743. The factor list above explains why 740 is composite.
Learn the factorization method740 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | seven hundred forty |
| Roman numeral | DCCXL |
| Binary (base 2) | 1011100100 |
| Octal (base 8) | 1344 |
| Decimal (base 10) | 740 |
| Hexadecimal (base 16) | 2E4 |
Check the binary conversion
Read 1011100100 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 + 32 + 4 = 740
Check the hexadecimal conversion
2 × 16^2 + 14 × 16^1 + 4 × 16^0 = 740
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 740
- 740 squared
- 740 × 740 = 547,600
- 740 cubed
- 740 × 740 × 740 = 405,224,000
- Square root
- ≈ 27.202941
- Simplified radical
- 2√185
740 lies between 729 (27²) and 784 (28²), so it is not a perfect square. It is not a perfect cube.
740 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 740.
Distinguish a square from a square rootMultiplication table for 740
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 | 370 | 0 | Yes |
| 3 | 246 | 2 | No |
| 4 | 185 | 0 | Yes |
| 5 | 148 | 0 | Yes |
| 6 | 123 | 2 | No |
| 7 | 105 | 5 | No |
| 8 | 92 | 4 | No |
| 9 | 82 | 2 | No |
| 10 | 74 | 0 | Yes |
| 11 | 67 | 3 | No |
| 12 | 61 | 8 | No |
For example, 740 = 7 × 105 + 5. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 740
740 contains 3 decimal digits. Its digit sum is 7 + 4 + 0 = 11.
- 740: 7 + 4 + 0 = 11
- 11: 1 + 1 = 2
The digital root is 2. Reversing its digits gives 047; 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, 740/100 simplifies to 37/5 by dividing both terms by their greatest common divisor, 20. Its decimal value is 7.4. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 740 and 12 is 4. Their least common multiple is 2220. The identity GCD × LCM = 740 × 12 = 8880 checks both results.
Work through GCF and LCMQuestions about 740
What are the factors of 740?
The positive factors are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 factors, including 1 and 740.
Is 740 a prime number?
No. 740 is composite: 2^2 × 5 × 37 = 740.
How do you write 740 in Roman numerals?
740 is DCCXL in standard subtractive Roman numeral notation.
What is the binary representation of 740?
740 in decimal is 1011100100 in base 2. Adding its active place values gives 512 + 128 + 64 + 32 + 4 = 740.
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 740
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 740 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.