Factors of 138
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What are the Factors of 138?
Answer
Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138
(number 138 has 8 factors)
Factor Pairs of 138
A Factor Pair of number 138 is a combination of two factors which can be multiplied together to equal 138.
List of all possible Factor Pairs of 138:
- 1 × 138 = 138
- 2 × 69 = 138
- 3 × 46 = 138
- 6 × 23 = 138
How to find the Factors of 138
Divide 138 by every whole number from 1 up to 11. Each division without a remainder gives a factor and its pair. There is no point going further: 12 × 12 = 144 is already greater than 138, so any larger divisor would pair with a smaller one you have already checked.
- 138 ÷ 1 = 138 — factors 1 and 138
- 138 ÷ 2 = 69 — factors 2 and 69
- 138 ÷ 3 = 46 — factors 3 and 46
- 138 ÷ 4 — remainder 2, not a factor
- 138 ÷ 5 — remainder 3, not a factor
- 138 ÷ 6 = 23 — factors 6 and 23
- 138 ÷ 7 — remainder 5, not a factor
- 138 ÷ 8 — remainder 2, not a factor
- 138 ÷ 9 — remainder 3, not a factor
- 138 ÷ 10 — remainder 8, not a factor
- 138 ÷ 11 — remainder 6, not a factor
Why 138 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.
138 = 2 × 3 × 23
(1 + 1) × (1 + 1) × (1 + 1) = 8
Step-by-step factorization: Prime factors of 138.
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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
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Factors Table
| Number | Factors |
|---|---|
| 123 | 1, 3, 41, 123 |
| 124 | 1, 2, 4, 31, 62, 124 |
| 125 | 1, 5, 25, 125 |
| 126 | 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126 |
| 127 | 1, 127 |
| 128 | 1, 2, 4, 8, 16, 32, 64, 128 |
| 129 | 1, 3, 43, 129 |
| 130 | 1, 2, 5, 10, 13, 26, 65, 130 |
| 131 | 1, 131 |
| 132 | 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 |
| 133 | 1, 7, 19, 133 |
| 134 | 1, 2, 67, 134 |
| 135 | 1, 3, 5, 9, 15, 27, 45, 135 |
| 136 | 1, 2, 4, 8, 17, 34, 68, 136 |
| 137 | 1, 137 |
| 138 | 1, 2, 3, 6, 23, 46, 69, 138 |
| 139 | 1, 139 |
| 140 | 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140 |
| 141 | 1, 3, 47, 141 |
| 142 | 1, 2, 71, 142 |
| 143 | 1, 11, 13, 143 |
| 144 | 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 |
| 145 | 1, 5, 29, 145 |
| 146 | 1, 2, 73, 146 |
| 147 | 1, 3, 7, 21, 49, 147 |
| 148 | 1, 2, 4, 37, 74, 148 |
| 149 | 1, 149 |
| 150 | 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 |
| 151 | 1, 151 |
| 152 | 1, 2, 4, 8, 19, 38, 76, 152 |
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 138? (The answer is: 1, 2, 3, 6, 23, 46, 69, 138). Pick the number (e.g. '138'). 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