GodKingAB GodKingAB
  • 09-08-2020
  • Mathematics
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How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)

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konrad509
konrad509 konrad509
  • 10-08-2020

15552|2

7776|2

3888|2

1944|2

972|2

486|2

243|3

81|3

27|3

9|3

3|3

1

[tex]15552=2^6\cdot 3^5=(2^3\cdot3^2)^2\cdot 3[/tex]

[tex](3+1)\cdot(2+1)=4\cdot 3=12[/tex]

It's 12

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