编程找出1000以内的所有完数并输出完数及其因子
时间: 2024-03-18 17:15:37 浏览: 86
好的,我可以回答这个问题。以下是1000以内的所有完数和它们的因子:
6 = 1 + 2 + 3
28 = 1 + 2 + 4 + 7 + 14
496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
8128 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 127 + 254 + 508 + 1016
如果您需要编程实现,可以使用以下代码:
```python
def find_perfect_numbers(n):
perfect_numbers = []
for i in range(1, n):
factors = []
for j in range(1, i):
if i % j == 0:
factors.append(j)
if sum(factors) == i:
perfect_numbers.append(i)
return perfect_numbers
n = 1000
perfect_numbers = find_perfect_numbers(n)
for number in perfect_numbers:
factors = []
for i in range(1, number):
if number % i == 0:
factors.append(i)
print(number, '=', ' + '.join(map(str, factors)))
```
希望这可以回答您的问题。
阅读全文