Number dictionary · Exact arithmetic
490: factors and number facts
four hundred ninety 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
- four hundred ninety
- Roman numeral
- CDXC
- Prime factorization
- 2 × 5 × 7^2
- Digital root
- 4
All factors of 490
A positive factor divides 490 with no remainder. In ascending order, the complete list is:
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Factor pairs
- 1 × 490 = 490
- 2 × 245 = 490
- 5 × 98 = 490
- 7 × 70 = 490
- 10 × 49 = 490
- 14 × 35 = 490
Each pair describes an arrangement of 490 items into equal rows. The pairs have different row and column counts; 490 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 12
- Sum of all divisors
- 1026
- Sum excluding 490
- 536
- Classification
- abundant
490 is abundant because its proper divisors add to 536, which is greater than 490.
Prime factorization of 490
490 = 2 × 5 × 7^2
Repeated division, step by step
- 490 ÷ 2 = 245
- 245 ÷ 5 = 49
- 49 ÷ 7 = 7
- 7 ÷ 7 = 1
Multiply the prime divisors in these steps to reconstruct 490. An exponent records how many times the same prime occurs. The divisor-count calculation is (1 + 1) × (1 + 1) × (2 + 1) = 12.
The preceding prime is 487. The next larger prime is 491. The factor list above explains why 490 is composite.
Learn the factorization method490 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | four hundred ninety |
| Roman numeral | CDXC |
| Binary (base 2) | 111101010 |
| Octal (base 8) | 752 |
| Decimal (base 10) | 490 |
| Hexadecimal (base 16) | 1EA |
Check the binary conversion
Read 111101010 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
256 + 128 + 64 + 32 + 8 + 2 = 490
Check the hexadecimal conversion
1 × 16^2 + 14 × 16^1 + 10 × 16^0 = 490
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 490
- 490 squared
- 490 × 490 = 240,100
- 490 cubed
- 490 × 490 × 490 = 117,649,000
- Square root
- ≈ 22.135944
- Simplified radical
- 7√10
490 lies between 484 (22²) and 529 (23²), so it is not a perfect square. It is not a perfect cube.
490 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 490.
Distinguish a square from a square rootMultiplication table for 490
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 | 245 | 0 | Yes |
| 3 | 163 | 1 | No |
| 4 | 122 | 2 | No |
| 5 | 98 | 0 | Yes |
| 6 | 81 | 4 | No |
| 7 | 70 | 0 | Yes |
| 8 | 61 | 2 | No |
| 9 | 54 | 4 | No |
| 10 | 49 | 0 | Yes |
| 11 | 44 | 6 | No |
| 12 | 40 | 10 | No |
For example, 490 = 7 × 70 + 0. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 490
490 contains 3 decimal digits. Its digit sum is 4 + 9 + 0 = 13.
- 490: 4 + 9 + 0 = 13
- 13: 1 + 3 = 4
The digital root is 4. Reversing its digits gives 094; 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, 490/100 simplifies to 49/10 by dividing both terms by their greatest common divisor, 10. Its decimal value is 4.9. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 490 and 12 is 2. Their least common multiple is 2940. The identity GCD × LCM = 490 × 12 = 5880 checks both results.
Work through GCF and LCMQuestions about 490
What are the factors of 490?
The positive factors are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 factors, including 1 and 490.
Is 490 a prime number?
No. 490 is composite: 2 × 5 × 7^2 = 490.
How do you write 490 in Roman numerals?
490 is CDXC in standard subtractive Roman numeral notation.
What is the binary representation of 490?
490 in decimal is 111101010 in base 2. Adding its active place values gives 256 + 128 + 64 + 32 + 8 + 2 = 490.
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 490
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 490 add to 13. 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.