Question

find the sum of divisors of 360

Answer 1

Divisors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360.

They together add up to - 1152

Hope you found it useful.

Answer 2

The divisor is any number that divides another number. A factor,  is a divisor that divides the number entirely and leaves no remainder. So, all factors of a number are its divisors.

So the factors of 360 will be :-

   360 ÷ 1 = 360

   360 ÷ 2 = 180

   360 ÷ 3 = 120

   360 ÷ 4 = 90

   360 ÷ 5 = 72

   360 ÷ 6 = 60

   360 ÷ 8 = 45

   360 ÷ 9 = 40

   360 ÷ 10 = 36

   360 ÷ 12 = 30

   360 ÷ 15 = 24

   360 ÷ 18 = 20

If we go in reverse order, then,

   360 ÷ 20 = 18

   360 ÷ 24 = 15

   360 ÷ 30 = 12

   360 ÷ 36 = 10

   360 ÷ 40 = 9

   360 ÷ 45 = 8

   360 ÷ 60 = 6

   360 ÷ 72 = 5

   360 ÷ 90 = 4

   360 ÷ 120 = 3

   360 ÷ 180 = 2

   360 ÷ 360 = 1

Hence , the factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.

Now we have to find out the sum of divisors of 360.

Let's do the sum.

1 +2+ 3+4+ 5+ 6+ 8+9+ 10+ 12+ 15+ 18+ 20+ 24+ 30+ 36+ 40+ 45+ 60+ 72+ 90+ 120+ 180+ 360=1170

Hence the sum of divisors of 360 will be 1170.

Ans :- The sum of divisors of 360 will be 1170.

#SPJ3