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Arithmetic ★

Section 3: Applications

Use prime factorizations for divisibility, gcds, lcms, and square tests.

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Question 1 / 5

The factorization of $360$ is $2^3\times3^2\times5$ . Does $12$ divide $360$ ?

No, because

360

has a factor

5

. No, because

12

is composite. Yes, because every number divides

360

. Yes, because

12=2^2\times3

, and those factors appear in

360

.

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