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Q.

All possible factors of 720 are ___.

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a

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48,60, 72, 80, 90, 120, 144, 180, 240, 360 and 720

b

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 45, 48, 72, 80, 90, 120, 144, 180, 240, 360, and 720

c

12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 72, 80, 90, 120, 144, 180, 240, 360, and 720

d

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 72, and 80

answer is D.

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Detailed Solution

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A number can be expressed as product of 2 numbers:

720 = 1 x 720

720 = 2 x 360

720 = 3 x 240

720 = 4 x 180

720 = 5 x 144

720 = 6 x 120

720 = 8 x 90

720 = 9 x 80

720 = 10 x 72

720 = 12 x 60

720 = 15 x 48

720 = 16 x 45

720 = 18 x 40

720 = 20 x 36

720 = 24 x 30

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48,60, 72, 80, 90, 120, 144, 180, 240, 360, 720.

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