Q: What is the total or count of factors of the number 16,151,616?

 A: 112

How do I find the total factors of the number 16,151,616?

Step 1

Find the prime factorization of the number 16,151,616.

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

Factor Tree
16,151,616
Factor Arrows
28,075,808
Factor Arrows
24,037,904
Factor Arrows
22,018,952
Factor Arrows
21,009,476
Factor Arrows
2504,738
Factor Arrows
2252,369
Factor Arrows
384,123
Factor Arrows
328,041
Factor Arrows
39,347
Factor Arrows
13719

The prime factorization in exponential form is: 26 x 33 x 131 x 7191

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.

16,151,616 = 26 x 33 x 131 x 7191
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(16151616) = (6 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(16151616) = (7)(4)(2)(2)
Down Arrow
d(16151616) = 112

More numbers for you to try

Take a look at the factors page to see the factors of 16,151,616 and how to find them.

Try the factor calculator.

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