Q: What is the total or count of factors of the number 134,404,032?

 A: 56

How do I find the total factors of the number 134,404,032?

Step 1

Find the prime factorization of the number 134,404,032.

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

Factor Tree
134,404,032
Factor Arrows
267,202,016
Factor Arrows
233,601,008
Factor Arrows
216,800,504
Factor Arrows
28,400,252
Factor Arrows
24,200,126
Factor Arrows
22,100,063
Factor Arrows
3700,021
Factor Arrows
7100,003

The prime factorization in exponential form is: 26 x 31 x 71 x 100,0031

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.

134,404,032 = 26 x 31 x 71 x 100,0031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(134404032) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(134404032) = (7)(2)(2)(2)
Down Arrow
d(134404032) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 134,404,032 and how to find them.

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