Question

Determine the sum of all the factors of 3800.

Answer 1

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree 

3,80021,90029502475595519

The prime factorization in exponential form is: 23 x 52 x 191

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

3,800 = 23 x 52 x 191 
 
d(n) = (a + 1)(b + 1)(c + 1) 
 
d(3800) = (3 + 1)(2 + 1)(1 + 1) 
 
d(3800) = (4)(3)(2) 
 
d(3800) = 24

More numbers for you to try

3,7983,7993,8013,802

Take a look at the factors page to see the factors of 3,800 and how to find them.

Answer 2

factors are 2*2*2*5*5*19 and sum is 2+2+2+5+5+19=35