Q: What is the total or count of factors of the number 102,043,264?

 A: 32

How do I find the total factors of the number 102,043,264?

Step 1

Find the prime factorization of the number 102,043,264.

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

Factor Tree
102,043,264
Factor Arrows
251,021,632
Factor Arrows
225,510,816
Factor Arrows
212,755,408
Factor Arrows
26,377,704
Factor Arrows
23,188,852
Factor Arrows
21,594,426
Factor Arrows
2797,213
Factor Arrows
811983

The prime factorization in exponential form is: 27 x 8111 x 9831

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.

102,043,264 = 27 x 8111 x 9831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(102043264) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(102043264) = (8)(2)(2)
Down Arrow
d(102043264) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 102,043,264 and how to find them.

Try the factor calculator.

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