Q: What is the total or count of factors of the number 81,485,800?

 A: 48

How do I find the total factors of the number 81,485,800?

Step 1

Find the prime factorization of the number 81,485,800.

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

Factor Tree
81,485,800
Factor Arrows
240,742,900
Factor Arrows
220,371,450
Factor Arrows
210,185,725
Factor Arrows
52,037,145
Factor Arrows
5407,429
Factor Arrows
1137,039

The prime factorization in exponential form is: 23 x 52 x 111 x 37,0391

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.

81,485,800 = 23 x 52 x 111 x 37,0391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(81485800) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(81485800) = (4)(3)(2)(2)
Down Arrow
d(81485800) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 81,485,800 and how to find them.

Try the factor calculator.

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