一个数如果恰好等于它的因子之和用MATLAB写,编程序找出1000之内的所有完数,并按下面格式输出其因子:6 its factors are 1,2,3
时间: 2023-05-17 21:06:15 浏览: 125
以下是我扮演的 C知道 的回答:
可以使用以下 MATLAB 代码来找出1000之内的所有完数,并按照指定格式输出其因子:
for n = 1:1000
factors = [];
for i = 1:n-1
if mod(n,i) == 0
factors = [factors i];
end
end
if sum(factors) == n
fprintf('%d its factors are ', n);
for j = 1:length(factors)
fprintf('%d,', factors(j));
end
fprintf('\b\n');
end
end
输出结果如下:
6 its factors are 1,2,3
28 its factors are 1,2,4,7,14
496 its factors are 1,2,4,8,16,31,62,124,248
相关问题
一个数如果恰好等于它的因子之和,这个数就称为"完数"。例如,6的因子为1,2,3,而 6=1+2+3,因此6是"完数用MATLAB编程序找出1000之内的所有完数,并按下面格式输出其因子: 6 its factors are 1,2,3
好的,让我来回答你的问题。以下是MATLAB编程代码,可以找出1000之内的所有完数,并按照要求输出其因子:
```matlab
for n = 1:1000
factors = [];
for i = 1:n-1
if mod(n,i) == 0
factors = [factors i];
end
end
if sum(factors) == n
fprintf('%d its factors are ', n);
for j = 1:length(factors)
fprintf('%d,', factors(j));
end
fprintf('\b\n');
end
end
```
这个程序会输出所有1000之内的完数及其因子,例如:
```
6 its factors are 1,2,3
28 its factors are 1,2,4,7,14
496 its factors are 1,2,4,8,16,31,62,124,248
```
希望这个程序对你有帮助!
一个数如果恰好等于它的因子之和,这个数就称为完数,编程序找出1000之内的所有完数并按照6 its factors are 1,2,3的格式输出
完数指的是一个数恰好等于它的因子之和,例如6就是一个完数,因为6=1+2+3。以下是Python代码实现:
```python
for i in range(2,1001):
factors = []
for j in range(1,i):
if i%j == 0:
factors.append(j)
if sum(factors) == i:
print('{} its factors are {}'.format(i, factors))
```
输出结果:
```
6 its factors are [1, 2, 3]
28 its factors are [1, 2, 4, 7, 14]
496 its factors are [1, 2, 4, 8, 16, 31, 62, 124, 248]
```
其中,range(2,1001)表示从2到1000的所有数,对于每个数i,我们需要找出它的因子。因子是指可以整除i的所有正整数,因此我们可以用一个循环遍历1到i-1的所有数,如果i能被j整除,则j是i的一个因子,将其添加到factors列表中。最后,如果i的因子之和等于i本身,则i是一个完数,按照题目要求输出即可。
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