Factors of 12
"Factors of a Number" Calculator
What are the Factors of 12?
Answer
Factors of 12:
1, 2, 3, 4, 6, 12
(number 12 has 6 factors)
Factor Pairs of 12
A Factor Pair of number 12 is a combination of two factors which can be multiplied together to equal 12.
List of all possible Factor Pairs of 12:
- 1 × 12 = 12
- 2 × 6 = 12
- 3 × 4 = 12
How to find the Factors of 12
Divide 12 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 12, so any larger divisor would pair with a smaller one you have already checked.
- 12 ÷ 1 = 12 — factors 1 and 12
- 12 ÷ 2 = 6 — factors 2 and 6
- 12 ÷ 3 = 4 — factors 3 and 4
Why 12 has exactly 6 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.
12 = 22 × 3
(2 + 1) × (1 + 1) = 6
Step-by-step factorization: Prime factors of 12.
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 12? (The answer is: 1, 2, 3, 4, 6, 12). Pick the number (e.g. '12'). 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 12?
Factors of 12: 1, 2, 3, 4, 6, 12
How many factors does 12 have?
Number 12 has 6 factors
How many Factor Pairs does 12 have?
Number 12 has 3 factor pairs