Find the sum of all odd factor of 840

Find the sum of all odd factor of 840.

a) 182

b) 192

c) 162

d) 172

Sol:

840 = 2³ × 3 × 5 × 7

Sum of all odd factors of 840

= (20).(30+31).(50+51).(70+71)

= 1 × 4 × 6 × 8

= 192

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