Q: What is the total or count of factors of the number 86,673,344?

 A: 112

How do I find the total factors of the number 86,673,344?

Step 1

Find the prime factorization of the number 86,673,344.

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

Factor Tree
86,673,344
Factor Arrows
243,336,672
Factor Arrows
221,668,336
Factor Arrows
210,834,168
Factor Arrows
25,417,084
Factor Arrows
22,708,542
Factor Arrows
21,354,271
Factor Arrows
1779,663
Factor Arrows
292,747
Factor Arrows
4167

The prime factorization in exponential form is: 26 x 171 x 291 x 411 x 671

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)(e + 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.

86,673,344 = 26 x 171 x 291 x 411 x 671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(86673344) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(86673344) = (7)(2)(2)(2)(2)
Down Arrow
d(86673344) = 112

More numbers for you to try

Take a look at the factors page to see the factors of 86,673,344 and how to find them.

Try the factor calculator.

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