Factors of 9
"Factors of a Number" Calculator
What are the Factors of 9?
Answer
Factors of 9:
1, 3, 9
(number 9 has 3 factors)
Factor Pairs of 9
A Factor Pair of number 9 is a combination of two factors which can be multiplied together to equal 9.
List of all possible Factor Pairs of 9:
- 1 × 9 = 9
- 3 × 3 = 9
How to find the Factors of 9
Divide 9 by every whole number from 1 up to 3. Each division without a remainder gives a factor and its pair. There is no point going further: 4 × 4 = 16 is already greater than 9, so any larger divisor would pair with a smaller one you have already checked.
- 9 ÷ 1 = 9 — factors 1 and 9
- 9 ÷ 2 — remainder 1, not a factor
- 9 ÷ 3 = 3 — factor 3, paired with itself
Why 9 has exactly 3 factors
The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.
9 = 32
(2 + 1) = 3
Step-by-step factorization: Prime factors of 9.
Related Calculations
See Also
- Prime Number Checker - Find out whether a given number is Prime or not
- Prime Factorization - Prime Factorization Calculator
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
About "Factors of a Number" Calculator
This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 9? (The answer is: 1, 3, 9). Pick the number (e.g. '9'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator
Factors Table
| Number | Factors |
|---|---|
| 1 | 1 |
| 2 | 1, 2 |
| 3 | 1, 3 |
| 4 | 1, 2, 4 |
| 5 | 1, 5 |
| 6 | 1, 2, 3, 6 |
| 7 | 1, 7 |
| 8 | 1, 2, 4, 8 |
| 9 | 1, 3, 9 |
| 10 | 1, 2, 5, 10 |
| 11 | 1, 11 |
| 12 | 1, 2, 3, 4, 6, 12 |
| 13 | 1, 13 |
| 14 | 1, 2, 7, 14 |
| 15 | 1, 3, 5, 15 |
| 16 | 1, 2, 4, 8, 16 |
| 17 | 1, 17 |
| 18 | 1, 2, 3, 6, 9, 18 |
| 19 | 1, 19 |
| 20 | 1, 2, 4, 5, 10, 20 |
| 21 | 1, 3, 7, 21 |
| 22 | 1, 2, 11, 22 |
| 23 | 1, 23 |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 |
| 25 | 1, 5, 25 |
| 26 | 1, 2, 13, 26 |
| 27 | 1, 3, 9, 27 |
| 28 | 1, 2, 4, 7, 14, 28 |
| 29 | 1, 29 |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
FAQ
What are the Factors of 9?
Factors of 9: 1, 3, 9
How many factors does 9 have?
Number 9 has 3 factors
How many Factor Pairs does 9 have?
Number 9 has 2 factor pairs