What is a good resource to learn all the rules of modular arithmetic?

Question

For example, is there a way to calculate the value of $(7 \times 11 \times 13 \times 17) \% 5$ in terms of the values of $7\%5, 11\%5, 13\%5,$ and $17\%5 $ ?

Comments

We can represent (a*b*c*d)mod n as (amodn*bmodn*cmodn*dmodn)modn

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Thanks. Any more identities like that?

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similarly for + also...

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Okay. That was kind of obvious, but thanks.