Factors of 42
"Factors of a Number" Calculator
What are the Factors of 42?
Answer
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
(number 42 has 8 factors)
Factor Pairs of 42
A Factor Pair of number 42 is a combination of two factors which can be multiplied together to equal 42.
List of all possible Factor Pairs of 42:
- 1 × 42 = 42
- 2 × 21 = 42
- 3 × 14 = 42
- 6 × 7 = 42
How to find the Factors of 42
Divide 42 by every whole number from 1 up to 6. Each division without a remainder gives a factor and its pair. There is no point going further: 7 × 7 = 49 is already greater than 42, so any larger divisor would pair with a smaller one you have already checked.
- 42 ÷ 1 = 42 — factors 1 and 42
- 42 ÷ 2 = 21 — factors 2 and 21
- 42 ÷ 3 = 14 — factors 3 and 14
- 42 ÷ 4 — remainder 2, not a factor
- 42 ÷ 5 — remainder 2, not a factor
- 42 ÷ 6 = 7 — factors 6 and 7
Why 42 has exactly 8 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.
42 = 2 × 3 × 7
(1 + 1) × (1 + 1) × (1 + 1) = 8
Step-by-step factorization: Prime factors of 42.
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 42? (The answer is: 1, 2, 3, 6, 7, 14, 21, 42). Pick the number (e.g. '42'). 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 |
|---|---|
| 27 | 1, 3, 9, 27 |
| 28 | 1, 2, 4, 7, 14, 28 |
| 29 | 1, 29 |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 |
| 31 | 1, 31 |
| 32 | 1, 2, 4, 8, 16, 32 |
| 33 | 1, 3, 11, 33 |
| 34 | 1, 2, 17, 34 |
| 35 | 1, 5, 7, 35 |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 |
| 37 | 1, 37 |
| 38 | 1, 2, 19, 38 |
| 39 | 1, 3, 13, 39 |
| 40 | 1, 2, 4, 5, 8, 10, 20, 40 |
| 41 | 1, 41 |
| 42 | 1, 2, 3, 6, 7, 14, 21, 42 |
| 43 | 1, 43 |
| 44 | 1, 2, 4, 11, 22, 44 |
| 45 | 1, 3, 5, 9, 15, 45 |
| 46 | 1, 2, 23, 46 |
| 47 | 1, 47 |
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |
| 49 | 1, 7, 49 |
| 50 | 1, 2, 5, 10, 25, 50 |
| 51 | 1, 3, 17, 51 |
| 52 | 1, 2, 4, 13, 26, 52 |
| 53 | 1, 53 |
| 54 | 1, 2, 3, 6, 9, 18, 27, 54 |
| 55 | 1, 5, 11, 55 |
| 56 | 1, 2, 4, 7, 8, 14, 28, 56 |
FAQ
What are the Factors of 42?
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
How many factors does 42 have?
Number 42 has 8 factors
How many Factor Pairs does 42 have?
Number 42 has 4 factor pairs
See Also
- Factors of 32
- Factors of 33
- Factors of 34
- Factors of 35
- Factors of 36
- Factors of 37
- Factors of 38
- Factors of 39
- Factors of 40
- Factors of 41
- Factors of 43
- Factors of 44
- Factors of 45
- Factors of 46
- Factors of 47
- Factors of 48
- Factors of 49
- Factors of 50
- Factors of 51
- Factors of 52
- Делители числа 42
- Factores de 42
- Fatores de 42