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Fundamental Theorem of Arithmetic

Number of com...

Question

Number of common factors of 360 and 18144 are

A

6

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B

10

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C

8

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D

9

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Solution

The correct option is B
10

360 = $2^{3}$ x $3^{2}$ x 5
18144 = $2^{5}$ x $3^{4}$ x 7
Therefore, the common factors are 1,2,3,4,6,9,12,18,36,72

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Find the HCF of 360 and 18144 by prime factorization.

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2. Sum of all factors of 360	ii) 1092
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