Find the remainder when 77 x 85 x 73 is divided by 9Select one:a. 1b. 2c. 4d. 7
Question
Find the remainder when 77 x 85 x 73 is divided by 9
Select one:
- a. 1
- b. 2
- c. 4
- d. 7
Solution
To solve this problem, we can use the property of modular arithmetic which states that (abc) mod m = [(a mod m)(b mod m)(c mod m)] mod m.
Step 1: Find the remainder of each number when divided by 9. 77 mod 9 = 5 85 mod 9 = 4 73 mod 9 = 1
Step 2: Multiply these remainders together and then find the remainder when the result is divided by 9. (541) mod 9 = 20 mod 9 = 2
So, the remainder when 77 x 85 x 73 is divided by 9 is 2. Therefore, the answer is b. 2.
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