Question

the number of odd divisors of 5! is ?​

Answer 1

The number of odd divisors of 5 are 1 and 5

1× 5 = 5

5 × 1 = 5

∴ 1 and 5 , these are the odd divisors of 5

Ans :-  1 and 5 ,  are the odd divisors of 5

Answer 2

Given,

The number  5!

To find,

The number of odd divisors of 5!

Solution,

5! = 5 × 4  × 3  × 2  × 1 = 120.

The factors or divisors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.

Odd numbers are numbers that are not divisible by 2 and they leave remainder 1 when divided by 2 while even numbers are numbers that are divisible by 2 and hence leave remainder zero when divided by 2.

1, 3, 5 and 15 are odd numbers while 2, 4, 6, 8, 10, 12, 20, 24, 30, 40 and 60 are even numbers.

Hence the number of odd divisors of 120 or 5! is 4.