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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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Similar questions

Find the HCF of 360 and 18144 by prime factorization.

Q. How many positive factors are there of the number

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1.Total number of factors of 360	i) 78
2. Sum of all factors of 360	ii) 1092
3.Sum of all odd factors of 360	iii) 24
4.Sum of all even factors of 360	iv) 1170
5.Product of all factors of 360	v) $360^{12}$

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