Question

Find the number of divisors of 480 excluding 1 and
480.​

Answer 1

Answer:

the divisors are 1, 2, 3, 4 , 5 ,6 ,8,10,12 , 15 , etc

Answer 2

Answer:

The number of divisors of 480 is 24 and the divisors are (2, 3 , 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240).

Step-by-step explanation:

As per the question,

Divisor is define as the number which completely divide the given number.

$Number \ =a^{p} \times b^{q}\times c^{r}$  

Where a, b , c  are prime numbers and p,q,and r  are their respective powers .

Then,

Total numbers of factors for N = (p + 1)(q +1)(r +1)

Now,

The given number is 480.

$480 = 2^{5}\times 3^{1}\times 5^{1}$

Therefore,

number of divisors = (5+1)(1+1)(1+1) = 24

Hence, the number of divisors of 480 is 24 and the divisors are (2, 3 , 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240).