1996 AJHSME Problems/Problem 15
Problem
The remainder when the product is divided by 500 is
Solution
To determine a remainder when a number is divided by , you only need to look at the last digit. If the last digit is or , the remainder is . If the last digit is or , the remainder is , and so on.
To determine the last digit of , you only need to look at the last digit of each number in the product. Thus, we compute . The last digit of the number is also , and thus the remainder when the number is divided by is also , which gives an answer of .
See Also
1996 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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