Q: What is the total or count of factors of the number 32,697,856?

 A: 20

How do I find the total factors of the number 32,697,856?

Step 1

Find the prime factorization of the number 32,697,856.

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

Factor Tree
32,697,856
Factor Arrows
216,348,928
Factor Arrows
28,174,464
Factor Arrows
24,087,232
Factor Arrows
22,043,616
Factor Arrows
21,021,808
Factor Arrows
2510,904
Factor Arrows
2255,452
Factor Arrows
2127,726
Factor Arrows
263,863

The prime factorization in exponential form is: 29 x 63,8631

Step 2

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

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

32,697,856 = 29 x 63,8631
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(32697856) = (9 + 1)(1 + 1)
Down Arrow
d(32697856) = (10)(2)
Down Arrow
d(32697856) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 32,697,856 and how to find them.

Try the factor calculator.

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