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Select the correct answerWhat is the remainder when 1044 x 1047 x 1050 x 1053 is divided by 33?Options21273024

Question

Select the correct answerWhat is the remainder when 1044 x 1047 x 1050 x 1053 is divided by 33?Options21273024

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Solution

To solve this problem, we need to use the property of modular arithmetic that states (a*b) mod n = [(a mod n) * (b mod n)] mod n.

Step 1: Find the remainder of each number when divided by 33. 1044 mod 33 = 31 1047 mod 33 = 1 1050 mod 33 = 4 1053 mod 33 = 7

Step 2: Multiply these remainders together and then find the remainder when this product is divided by 33. (3114*7) mod 33 = 868 mod 33 = 24

So, the remainder when 1044 x 1047 x 1050 x 1053 is divided by 33 is 24.

This problem has been solved

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