The number 250
250 is a composite number with 8 divisors. Its prime factorisation is 2 × . Divisors (8): 1, 2, 5, 10, 25, 50, 125, 250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
250 is composite. Its prime factorisation is
- 3
The divisors add up to 468; without 250 itself that is 218, so 250 is deficient (218 is less than 250). Euler's totient φ(250) = 100 numbers up to 250 share no factor with it.
- 4
The digits of 250 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 250 = 2 \times 5^{3} \]250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 468 |
| Euler totient φ(n) | 100 |
| Square | 62500 |
| Cube | 15625000 |
| Square root | 15.811388 (= 5√10) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 2.5 × |
250 in other forms
| Form | Value |
|---|---|
| In words | two hundred and fifty |
| Roman numerals | CCL |
| Binary (base 2) | 11111010 |
| Octal (base 8) | 372 |
| Hexadecimal (base 16) | FA |
| Base 3 | 100021 |
| As time | 250 seconds = 4 min 10 s |
Is 250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (250 ÷ 2 = 125) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (250 ÷ 5 = 50) | 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 5) | 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 2) | 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 | Yes (250 ÷ 10 = 25) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 250 a prime number?
No. 250 = 2 × , so it is divisible by 2.
What are the factors of 250?
1, 2, 5, 10, 25, 50, 125, 250.
What is 250 in binary?
11111010 (hexadecimal FA, octal 372).
What is the square root of 250?
About 15.8114, exactly 5√10.
What is 250 in Roman numerals?
CCL.
Is 250 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 250?
It is a composite number with 8 divisors.