Q: What is the total or count of factors of the number 114,067,737?

 A: 64

How do I find the total factors of the number 114,067,737?

Step 1

Find the prime factorization of the number 114,067,737.

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

Factor Tree
114,067,737
Factor Arrows
338,022,579
Factor Arrows
312,674,193
Factor Arrows
34,224,731
Factor Arrows
7603,533
Factor Arrows
786,219
Factor Arrows
712,317
Factor Arrows
109113

The prime factorization in exponential form is: 33 x 73 x 1091 x 1131

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.

114,067,737 = 33 x 73 x 1091 x 1131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(114067737) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(114067737) = (4)(4)(2)(2)
Down Arrow
d(114067737) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 114,067,737 and how to find them.

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