Suppose that you need to find all integers between 1 and 1000 that are divisible

Question

Suppose that you need to find all integers between 1 and 1000 that are divisible by 7 and have remainder 1 when divided by 2, 3, 4, 5, and 6. Can you write a short Matlab script to do this?

Try the following (and make sure you understand each step. Copy entire code in a script file and run one statement at a time. Remove semicolons (;) to observe the outputs. You may set breakpoints in the code):

Note that setting elements of an array to an empty array, [], eliminates these elements from the original array (as demonstrated in last week's lab).

Can you alter the code above to find all integers between 1 and 1000 that are divisible by 7 and have remainder 2 when divided by 13? Hint: if you copy the code into a script file and make changes within the script it will be much easier than typing the program out each time.

How many values fit this criteria?

Explanation / Answer

modified matlab code:

n = 7:7:1000;   
N = length (n );
ii=13
r = rem(n,ii) ~= 2;
n(r) = [];
N = length (n );
n

output:

ii =

13

n =

28 119 210 301 392 483 574 665 756 847 938

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