Q: What is the total or count of factors of the number 16,020,864?

 A: 48

How do I find the total factors of the number 16,020,864?

Step 1

Find the prime factorization of the number 16,020,864.

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

Factor Tree
16,020,864
Factor Arrows
28,010,432
Factor Arrows
24,005,216
Factor Arrows
22,002,608
Factor Arrows
21,001,304
Factor Arrows
2500,652
Factor Arrows
2250,326
Factor Arrows
2125,163
Factor Arrows
341,721
Factor Arrows
313,907

The prime factorization in exponential form is: 27 x 32 x 13,9071

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

16,020,864 = 27 x 32 x 13,9071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(16020864) = (7 + 1)(2 + 1)(1 + 1)
Down Arrow
d(16020864) = (8)(3)(2)
Down Arrow
d(16020864) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 16,020,864 and how to find them.

Try the factor calculator.

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