Factors of 48
"Factors of a Number" Calculator
What are the Factors of 48?
Answer
Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
(number 48 has 10 factors)
Factor Pairs of 48
A Factor Pair of number 48 is a combination of two factors which can be multiplied together to equal 48.
List of all possible Factor Pairs of 48:
- 1 × 48 = 48
- 2 × 24 = 48
- 3 × 16 = 48
- 4 × 12 = 48
- 6 × 8 = 48
How to find the Factors of 48
Divide 48 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 48, so any larger divisor would pair with a smaller one you have already checked.
- 48 ÷ 1 = 48 — factors 1 and 48
- 48 ÷ 2 = 24 — factors 2 and 24
- 48 ÷ 3 = 16 — factors 3 and 16
- 48 ÷ 4 = 12 — factors 4 and 12
- 48 ÷ 5 — remainder 3, not a factor
- 48 ÷ 6 = 8 — factors 6 and 8
Why 48 has exactly 10 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.
48 = 24 × 3
(4 + 1) × (1 + 1) = 10
Step-by-step factorization: Prime factors of 48.
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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 |
|---|---|
| 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 |
| 57 | 1, 3, 19, 57 |
| 58 | 1, 2, 29, 58 |
| 59 | 1, 59 |
| 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 |
| 61 | 1, 61 |
| 62 | 1, 2, 31, 62 |
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 48? (The answer is: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48). Pick the number (e.g. '48'). 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