Number dictionary · Exact arithmetic
746: factors and number facts
seven hundred forty-six 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
- seven hundred forty-six
- Roman numeral
- DCCXLVI
- Prime factorization
- 2 × 373
- Digital root
- 8
All factors of 746
A positive factor divides 746 with no remainder. In ascending order, the complete list is:
1, 2, 373, 746
Factor pairs
- 1 × 746 = 746
- 2 × 373 = 746
Each pair describes an arrangement of 746 items into equal rows. The pairs have different row and column counts; 746 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 4
- Sum of all divisors
- 1122
- Sum excluding 746
- 376
- Classification
- deficient
746 is deficient because its proper divisors add to 376, which is less than 746.
Prime factorization of 746
746 = 2 × 373
Repeated division, step by step
- 746 ÷ 2 = 373
- 373 ÷ 373 = 1
Multiply the prime divisors in these steps to reconstruct 746. Each prime in this factorization occurs once. The divisor-count calculation is (1 + 1) × (1 + 1) = 4.
The preceding prime is 743. The next larger prime is 751. The factor list above explains why 746 is composite.
Learn the factorization method746 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | seven hundred forty-six |
| Roman numeral | DCCXLVI |
| Binary (base 2) | 1011101010 |
| Octal (base 8) | 1352 |
| Decimal (base 10) | 746 |
| Hexadecimal (base 16) | 2EA |
Check the binary conversion
Read 1011101010 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 + 8 + 2 = 746
Check the hexadecimal conversion
2 × 16^2 + 14 × 16^1 + 10 × 16^0 = 746
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 746
- 746 squared
- 746 × 746 = 556,516
- 746 cubed
- 746 × 746 × 746 = 415,160,936
- Square root
- ≈ 27.313001
- Simplified radical
- √746
746 lies between 729 (27²) and 784 (28²), so it is not a perfect square. It is not a perfect cube.
746 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 746.
Distinguish a square from a square rootMultiplication table for 746
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 | 373 | 0 | Yes |
| 3 | 248 | 2 | No |
| 4 | 186 | 2 | No |
| 5 | 149 | 1 | No |
| 6 | 124 | 2 | No |
| 7 | 106 | 4 | No |
| 8 | 93 | 2 | No |
| 9 | 82 | 8 | No |
| 10 | 74 | 6 | No |
| 11 | 67 | 9 | No |
| 12 | 62 | 2 | No |
For example, 746 = 7 × 106 + 4. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 746
746 contains 3 decimal digits. Its digit sum is 7 + 4 + 6 = 17.
- 746: 7 + 4 + 6 = 17
- 17: 1 + 7 = 8
The digital root is 8. Reversing its digits gives 647; 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, 746/100 simplifies to 373/50 by dividing both terms by their greatest common divisor, 2. Its decimal value is 7.46. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 746 and 12 is 2. Their least common multiple is 4476. The identity GCD × LCM = 746 × 12 = 8952 checks both results.
Work through GCF and LCMQuestions about 746
What are the factors of 746?
The positive factors are 1, 2, 373, 746. There are 4 factors, including 1 and 746.
Is 746 a prime number?
No. 746 is composite: 2 × 373 = 746.
How do you write 746 in Roman numerals?
746 is DCCXLVI in standard subtractive Roman numeral notation.
What is the binary representation of 746?
746 in decimal is 1011101010 in base 2. Adding its active place values gives 512 + 128 + 64 + 32 + 8 + 2 = 746.
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 746
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 746 add to 17. 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.