Q: What is the total or count of factors of the number 16,142,028?

 A: 96

How do I find the total factors of the number 16,142,028?

Step 1

Find the prime factorization of the number 16,142,028.

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

Factor Tree
16,142,028
Factor Arrows
28,071,014
Factor Arrows
24,035,507
Factor Arrows
31,345,169
Factor Arrows
7192,167
Factor Arrows
414,687
Factor Arrows
43109

The prime factorization in exponential form is: 22 x 31 x 71 x 411 x 431 x 1091

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)(f + 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.

16,142,028 = 22 x 31 x 71 x 411 x 431 x 1091
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(16142028) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(16142028) = (3)(2)(2)(2)(2)(2)
Down Arrow
d(16142028) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 16,142,028 and how to find them.

Try the factor calculator.

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