Q: What is the total or count of factors of the number 130,121,112?

 A: 32

How do I find the total factors of the number 130,121,112?

Step 1

Find the prime factorization of the number 130,121,112.

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

Factor Tree
130,121,112
Factor Arrows
265,060,556
Factor Arrows
232,530,278
Factor Arrows
216,265,139
Factor Arrows
35,421,713
Factor Arrows
11492,883

The prime factorization in exponential form is: 23 x 31 x 111 x 492,8831

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.

130,121,112 = 23 x 31 x 111 x 492,8831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(130121112) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(130121112) = (4)(2)(2)(2)
Down Arrow
d(130121112) = 32

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Take a look at the factors page to see the factors of 130,121,112 and how to find them.

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