Q: What is the total or count of factors of the number 35,484,512?

 A: 48

How do I find the total factors of the number 35,484,512?

Step 1

Find the prime factorization of the number 35,484,512.

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

Factor Tree
35,484,512
Factor Arrows
217,742,256
Factor Arrows
28,871,128
Factor Arrows
24,435,564
Factor Arrows
22,217,782
Factor Arrows
21,108,891
Factor Arrows
7158,413
Factor Arrows
1571,009

The prime factorization in exponential form is: 25 x 71 x 1571 x 1,0091

Step 2

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

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

35,484,512 = 25 x 71 x 1571 x 1,0091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(35484512) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(35484512) = (6)(2)(2)(2)
Down Arrow
d(35484512) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 35,484,512 and how to find them.

Try the factor calculator.

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