The number 260
260 is a composite number with 12 divisors. Its prime factorisation is × 5 × 13. Divisors (12): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
260 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
260 is composite. Its prime factorisation is
- 3
The divisors add up to 588; without 260 itself that is 328, so 260 is abundant (328 is more than 260). Euler's totient φ(260) = 96 numbers up to 260 share no factor with it.
- 4
The digits of 260 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 260 = 2^{2} \times 5 \times 13 \]260 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 588 |
| Euler totient φ(n) | 96 |
| Square | 67600 |
| Cube | 17576000 |
| Square root | 16.124515 (= 2√65) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 29 |
| Scientific notation | 2.6 × |
260 in other forms
| Form | Value |
|---|---|
| In words | two hundred and sixty |
| Roman numerals | CCLX |
| Binary (base 2) | 100000100 |
| Octal (base 8) | 404 |
| Hexadecimal (base 16) | 104 |
| Base 3 | 100122 |
| As time | 260 seconds = 4 min 20 s |
Is 260 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (260 ÷ 2 = 130) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (260 ÷ 4 = 65) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (260 ÷ 5 = 52) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (260 ÷ 10 = 26) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 260 a prime number?
No. 260 = × 5 × 13, so it is divisible by 2.
What are the factors of 260?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
What is 260 in binary?
100000100 (hexadecimal 104, octal 404).
What is the square root of 260?
About 16.1245, exactly 2√65.
What is 260 in Roman numerals?
CCLX.
Is 260 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 260?
It is a composite number with 12 divisors.