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| Math Central | Quandaries & Queries |
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Question from peter, a student: What is the largest perfect square factor of 1512? |
Peter,
I am going to change the question to
What is the largest perfect square factor of 8232?
The solution is to write 24696 in terms of its prime factors.
8232 = 23 × 3 × 73
22 and 72 are perfect square factors of 8232 and hence so is (2 × 7)2 = 142 = 196. No larger perfect square is a factor of 8232.
Penny
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