find the number of divisors of 3780 excluding 1 and the no itself??
Answers
Given:
Given number is 3780.
To find:
We need to find the divisors of given number excluding 1 and itself.
Solution:
A divisor or factor is a number that divides another number completely without leaving any remainder.
Now, let us find the factors or divisors of 3780.
1 × 3780 = 3,780
2 × 1890 = 3,780
3 × 1260 = 3,780
4 × 945 = 3,780
5 × 756 = 3,780
6 × 630 = 3,780
7 × 540 = 3,780
9 × 420 = 3,780
10 × 378 = 3,780
12 × 315 = 3,780
14 × 270 = 3,780
15 × 252 = 3,780
18 × 210 = 3,780
20 × 189 = 3,780
21 × 180 = 3,780
27 × 140 = 3,780
28 × 135 = 3,780
30 × 126 = 3,780
35 × 108 = 3,780
36 × 105 = 3,780
42 × 90 = 3,780
45 × 84 = 3,780
54 × 70 = 3,780
60 × 63 = 3,780
The divisors of 3280 are 1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,
36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,
315,378,420,540,630,756,945,1260,1890,3780.
But, we need to find the divisors of 3780 excluding 1 and itself.
So, divisors excluding 1 and itself are 2,3,4,5,6,7,9,10,12,14,15,18,20,21,
27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,
252,270,315,378,420,540,630,756,945,1260,1890.
Therefore, there are 46 divisors of 3780 excluding 1 and itself.
Given : divisors of 3780
To Find : number of divisors of 3780 excluding 1 and the number itself
Solution:
3780 = 2* 1890
=> 3780 = 2* 2 * 945
=> 3780 = 2* 2 * 3 * 315
=> 3780 = 2* 2 * 3 * 3 * 105
=> 3780 = 2* 2 * 3 * 3 * 3 * 35
=> 3780 = 2* 2 * 3 * 3 * 3 * 5 * 7
=> 3780 = 2² * 3³ * 5¹ * 7¹
Number of Divisors = (2 + 1)(3 + 1)(1 + 1)( 1 + 1)
= (3)(4)(2)(2)
= 48
number of divisors of 3780 = 48
excluding 1 and the no itself
= 48 - 2 = 46
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