The number 268
268 is a composite number with 6 divisors. Its prime factorisation is × 67. Divisors (6): 1, 2, 4, 67, 134, 268.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
268 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
268 is composite. Its prime factorisation is
- 3
The divisors add up to 476; without 268 itself that is 208, so 268 is deficient (208 is less than 268). Euler's totient φ(268) = 132 numbers up to 268 share no factor with it.
- 4
The digits of 268 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 268 = 2^{2} \times 67 \]268 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 476 |
| Euler totient φ(n) | 132 |
| Square | 71824 |
| Cube | 19248832 |
| Square root | 16.370706 (= 2√67) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 29 |
| Scientific notation | 2.68 × |
268 in other forms
| Form | Value |
|---|---|
| In words | two hundred and sixty-eight |
| Roman numerals | CCLXVIII |
| Binary (base 2) | 100001100 |
| Octal (base 8) | 414 |
| Hexadecimal (base 16) | 10C |
| Base 3 | 100221 |
| As time | 268 seconds = 4 min 28 s |
Is 268 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (268 ÷ 2 = 134) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (268 ÷ 4 = 67) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 268 a prime number?
No. 268 = × 67, so it is divisible by 2.
What are the factors of 268?
1, 2, 4, 67, 134, 268.
What is 268 in binary?
100001100 (hexadecimal 10C, octal 414).
What is the square root of 268?
About 16.3707, exactly 2√67.
What is 268 in Roman numerals?
CCLXVIII.
Is 268 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 268?
It is a composite number with 6 divisors.