Q: What is the total or count of factors of the number 81,485,784?

 A: 64

How do I find the total factors of the number 81,485,784?

Step 1

Find the prime factorization of the number 81,485,784.

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

Factor Tree
81,485,784
Factor Arrows
240,742,892
Factor Arrows
220,371,446
Factor Arrows
210,185,723
Factor Arrows
33,395,241
Factor Arrows
31,131,747
Factor Arrows
3377,249
Factor Arrows
1093,461

The prime factorization in exponential form is: 23 x 33 x 1091 x 3,4611

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.

81,485,784 = 23 x 33 x 1091 x 3,4611
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(81485784) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(81485784) = (4)(4)(2)(2)
Down Arrow
d(81485784) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 81,485,784 and how to find them.

Try the factor calculator.

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