The number 150
150 is a composite number with 12 divisors. Its prime factorisation is 2 × 3 × . Divisors (12): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 150: a Harshad number: divisible by its digit sum 6.
- 2
150 is composite. Its prime factorisation is
- 3
The divisors add up to 372; without 150 itself that is 222, so 150 is abundant (222 is more than 150). Euler's totient φ(150) = 40 numbers up to 150 share no factor with it.
- 4
The digits of 150 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 150 = 2 \times 3 \times 5^{2} \]150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 372 |
| Euler totient φ(n) | 40 |
| Square | 22500 |
| Cube | 3375000 |
| Square root | 12.247449 (= 5√6) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 15 |
| Scientific notation | 1.5 × |
150 in other forms
| Form | Value |
|---|---|
| In words | one hundred and fifty |
| Roman numerals | CL |
| Binary (base 2) | 10010110 |
| Octal (base 8) | 226 |
| Hexadecimal (base 16) | 96 |
| Base 3 | 12120 |
| As time | 150 seconds = 2 min 30 s |
Is 150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (150 ÷ 2 = 75) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (150 ÷ 3 = 50) | 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 (150 ÷ 5 = 30) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (150 ÷ 6 = 25) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (150 ÷ 10 = 15) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 150 a prime number?
No. 150 = 2 × 3 × , so it is divisible by 2.
What are the factors of 150?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
What is 150 in binary?
10010110 (hexadecimal 96, octal 226).
What is the square root of 150?
About 12.2474, exactly 5√6.
What is 150 in Roman numerals?
CL.
Is 150 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 150?
150 is a Harshad number: divisible by its digit sum 6.