1996 AJHSME Problems/Problem 1
Contents
[hide]Problem
How many positive factors of 36 are also multiples of 4?
Solution
The factors of are and .
The multiples of up to are and .
Only and appear on both lists, so the answer is , which is option .
Solution 2
. All possible factors of will be here, except for ones divisible by and not by . . Subtract factors not divisible by , which are , , and . , which is .
Solution 3
Divide by , and the remaining factors, when multiplied by , will be factors of .
, which has factors, giving us option .
See also
1996 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by 1995 AJHSME Last Question |
Followed by Problem 2 | |
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All AJHSME/AMC 8 Problems and Solutions |
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