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 find the remainder when this product is divided by 33.

(31*1*4*7) mod 33 = 868 mod 33 = 24

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

Question

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 find the remainder when this product is divided by 33.

(31*1*4*7) mod 33 = 868 mod 33 = 24

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

Knowee AI · Accepted Answer

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 find the remainder when this product is divided by 33.

(31*1*4*7) mod 33 = 868 mod 33 = 24

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

What is the remainder when 1044 x 1047 x 1050 x 1053 is divided by 33?Options21273024