Q: What is the total or count of factors of the number 32,120,832?

 A: 56

How do I find the total factors of the number 32,120,832?

Step 1

Find the prime factorization of the number 32,120,832.

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

Factor Tree
32,120,832
Factor Arrows
216,060,416
Factor Arrows
28,030,208
Factor Arrows
24,015,104
Factor Arrows
22,007,552
Factor Arrows
21,003,776
Factor Arrows
2501,888
Factor Arrows
2250,944
Factor Arrows
2125,472
Factor Arrows
262,736
Factor Arrows
231,368
Factor Arrows
215,684
Factor Arrows
27,842
Factor Arrows
23,921
Factor Arrows
31,307

The prime factorization in exponential form is: 213 x 31 x 1,3071

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.

32,120,832 = 213 x 31 x 1,3071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(32120832) = (13 + 1)(1 + 1)(1 + 1)
Down Arrow
d(32120832) = (14)(2)(2)
Down Arrow
d(32120832) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 32,120,832 and how to find them.

Try the factor calculator.

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