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
时间: 2023-05-17 07:05:14 浏览: 97
编程找出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
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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!
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