Q: What is the total or count of factors of the number 16,423,120?

 A: 40

How do I find the total factors of the number 16,423,120?

Step 1

Find the prime factorization of the number 16,423,120.

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

Factor Tree
16,423,120
Factor Arrows
28,211,560
Factor Arrows
24,105,780
Factor Arrows
22,052,890
Factor Arrows
21,026,445
Factor Arrows
5205,289
Factor Arrows
729,327

The prime factorization in exponential form is: 24 x 51 x 71 x 29,3271

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.

16,423,120 = 24 x 51 x 71 x 29,3271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(16423120) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(16423120) = (5)(2)(2)(2)
Down Arrow
d(16423120) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 16,423,120 and how to find them.

Try the factor calculator.

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