Q: What is the total or count of factors of the number 16,111,500?

 A: 96

How do I find the total factors of the number 16,111,500?

Step 1

Find the prime factorization of the number 16,111,500.

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

Factor Tree
16,111,500
Factor Arrows
28,055,750
Factor Arrows
24,027,875
Factor Arrows
31,342,625
Factor Arrows
5268,525
Factor Arrows
553,705
Factor Arrows
510,741
Factor Arrows
23467

The prime factorization in exponential form is: 22 x 31 x 53 x 231 x 4671

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.

16,111,500 = 22 x 31 x 53 x 231 x 4671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(16111500) = (2 + 1)(1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(16111500) = (3)(2)(4)(2)(2)
Down Arrow
d(16111500) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 16,111,500 and how to find them.

Try the factor calculator.

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