Q: What is the total or count of factors of the number 3,441,600?

 A: 126

How do I find the total factors of the number 3,441,600?

Step 1

Find the prime factorization of the number 3,441,600.

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

Factor Tree
3,441,600
Factor Arrows
21,720,800
Factor Arrows
2860,400
Factor Arrows
2430,200
Factor Arrows
2215,100
Factor Arrows
2107,550
Factor Arrows
253,775
Factor Arrows
317,925
Factor Arrows
35,975
Factor Arrows
51,195
Factor Arrows
5239

The prime factorization in exponential form is: 26 x 32 x 52 x 2391

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.

3,441,600 = 26 x 32 x 52 x 2391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3441600) = (6 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(3441600) = (7)(3)(3)(2)
Down Arrow
d(3441600) = 126

More numbers for you to try

Take a look at the factors page to see the factors of 3,441,600 and how to find them.

Try the factor calculator.

Explore more about the number 3,441,600:


Ask a Question