Q: What is the total or count of factors of the number 116,831,232?

 A: 132

How do I find the total factors of the number 116,831,232?

Step 1

Find the prime factorization of the number 116,831,232.

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

Factor Tree
116,831,232
Factor Arrows
258,415,616
Factor Arrows
229,207,808
Factor Arrows
214,603,904
Factor Arrows
27,301,952
Factor Arrows
23,650,976
Factor Arrows
21,825,488
Factor Arrows
2912,744
Factor Arrows
2456,372
Factor Arrows
2228,186
Factor Arrows
2114,093
Factor Arrows
338,031
Factor Arrows
312,677
Factor Arrows
71,811

The prime factorization in exponential form is: 210 x 32 x 71 x 1,8111

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.

116,831,232 = 210 x 32 x 71 x 1,8111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(116831232) = (10 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(116831232) = (11)(3)(2)(2)
Down Arrow
d(116831232) = 132

More numbers for you to try

Take a look at the factors page to see the factors of 116,831,232 and how to find them.

Try the factor calculator.

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