找1-n之间的所有因数
时间: 2024-05-03 09:17:17 浏览: 23
要找出1到n之间的所有因数,可以根据以下步骤进行操作:
1. 从1到n遍历所有数字。
2. 对于每个数字,判断它是否是n的因数。可以通过使用模运算符来实现此操作。如果n对该数字取模的结果为0,则该数字是n的因数。
3. 如果数字是n的因数,则将其添加到因数列表中。
下面是一个Python代码示例,用于找出1到n之间的所有因数:
```python
def find_factors(n):
factors = []
for i in range(1, n+1):
if n % i == 0:
factors.append(i)
return factors
```
使用该函数可以找出任意数字n的所有因数。例如,要找出1到100之间所有数字的因数,可以使用以下代码:
```python
for i in range(1, 101):
print("Factors of", i, ":", find_factors(i))
```
输出结果将为:
```
Factors of 1 : [1]
Factors of 2 : [1, 2]
Factors of 3 : [1, 3]
Factors of 4 : [1, 2, 4]
Factors of 5 : [1, 5]
Factors of 6 : [1, 2, 3, 6]
Factors of 7 : [1, 7]
Factors of 8 : [1, 2, 4, 8]
Factors of 9 : [1, 3, 9]
Factors of 10 : [1, 2, 5, 10]
Factors of 11 : [1, 11]
Factors of 12 : [1, 2, 3, 4, 6, 12]
Factors of 13 : [1, 13]
Factors of 14 : [1, 2, 7, 14]
Factors of 15 : [1, 3, 5, 15]
Factors of 16 : [1, 2, 4, 8, 16]
Factors of 17 : [1, 17]
Factors of 18 : [1, 2, 3, 6, 9, 18]
Factors of 19 : [1, 19]
Factors of 20 : [1, 2, 4, 5, 10, 20]
Factors of 21 : [1, 3, 7, 21]
Factors of 22 : [1, 2, 11, 22]
Factors of 23 : [1, 23]
Factors of 24 : [1, 2, 3, 4, 6, 8, 12, 24]
Factors of 25 : [1, 5, 25]
Factors of 26 : [1, 2, 13, 26]
Factors of 27 : [1, 3, 9, 27]
Factors of 28 : [1, 2, 4, 7, 14, 28]
Factors of 29 : [1, 29]
Factors of 30 : [1, 2, 3, 5, 6, 10, 15, 30]
Factors of 31 : [1, 31]
Factors of 32 : [1, 2, 4, 8, 16, 32]
Factors of 33 : [1, 3, 11, 33]
Factors of 34 : [1, 2, 17, 34]
Factors of 35 : [1, 5, 7, 35]
Factors of 36 : [1, 2, 3, 4, 6, 9, 12, 18, 36]
Factors of 37 : [1, 37]
Factors of 38 : [1, 2, 19, 38]
Factors of 39 : [1, 3, 13, 39]
Factors of 40 : [1, 2, 4, 5, 8, 10, 20, 40]
Factors of 41 : [1, 41]
Factors of 42 : [1, 2, 3, 6, 7, 14, 21, 42]
Factors of 43 : [1, 43]
Factors of 44 : [1, 2, 4, 11, 22, 44]
Factors of 45 : [1, 3, 5, 9, 15, 45]
Factors of 46 : [1, 2, 23, 46]
Factors of 47 : [1, 47]
Factors of 48 : [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]
Factors of 49 : [1, 7, 49]
Factors of 50 : [1, 2, 5, 10, 25, 50]
Factors of 51 : [1, 3, 17, 51]
Factors of 52 : [1, 2, 4, 13, 26, 52]
Factors of 53 : [1, 53]
Factors of 54 : [1, 2, 3, 6, 9, 18, 27, 54]
Factors of 55 : [1, 5, 11, 55]
Factors of 56 : [1, 2, 4, 7, 8, 14, 28, 56]
Factors of 57 : [1, 3, 19, 57]
Factors of 58 : [1, 2, 29, 58]
Factors of 59 : [1, 59]
Factors of 60 : [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]
Factors of 61 : [1, 61]
Factors of 62 : [1, 2, 31, 62]
Factors of 63 : [1, 3, 7, 9, 21, 63]
Factors of 64 : [1, 2, 4, 8, 16, 32, 64]
Factors of 65 : [1, 5, 13, 65]
Factors of 66 : [1, 2, 3, 6, 11, 22, 33, 66]
Factors of 67 : [1, 67]
Factors of 68 : [1, 2, 4, 17, 34, 68]
Factors of 69 : [1, 3, 23, 69]
Factors of 70 : [1, 2, 5, 7, 10, 14, 35, 70]
Factors of 71 : [1, 71]
Factors of 72 : [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]
Factors of 73 : [1, 73]
Factors of 74 : [1, 2, 37, 74]
Factors of 75 : [1, 3, 5, 15, 25, 75]
Factors of 76 : [1, 2, 4, 19, 38, 76]
Factors of 77 : [1, 7, 11, 77]
Factors of 78 : [1, 2, 3, 6, 13, 26, 39, 78]
Factors of 79 : [1, 79]
Factors of 80 : [1, 2, 4, 5, 8, 10, 16, 20, 40, 80]
Factors of 81 : [1, 3, 9, 27, 81]
Factors of 82 : [1, 2, 41, 82]
Factors of 83 : [1, 83]
Factors of 84 : [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84]
Factors of 85 : [1, 5, 17, 85]
Factors of 86 : [1, 2, 43, 86]
Factors of 87 : [1, 3, 29, 87]
Factors of 88 : [1, 2, 4, 8, 11, 22, 44, 88]
Factors of 89 : [1, 89]
Factors of 90 : [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]
Factors of 91 : [1, 7, 13, 91]
Factors of 92 : [1, 2, 4, 23, 46, 92]
Factors of 93 : [1, 3, 31, 93]
Factors of 94 : [1, 2, 47, 94]
Factors of 95 : [1, 5, 19, 95]
Factors of 96 : [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96]
Factors of 97 : [1, 97]
Factors of 98 : [1, 2, 7, 14, 49, 98]
Factors of 99 : [1, 3, 9, 11, 33, 99]
Factors of 100 : [1, 2, 4, 5, 10, 20, 25, 50, 100]
```
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