Q: What is the total or count of factors of the number 130,303,011?

 A: 32

How do I find the total factors of the number 130,303,011?

Step 1

Find the prime factorization of the number 130,303,011.

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

Factor Tree
130,303,011
Factor Arrows
343,434,337
Factor Arrows
172,554,961
Factor Arrows
3769,053
Factor Arrows
199347

The prime factorization in exponential form is: 31 x 171 x 371 x 1991 x 3471

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)

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.

130,303,011 = 31 x 171 x 371 x 1991 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(130303011) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(130303011) = (2)(2)(2)(2)(2)
Down Arrow
d(130303011) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 130,303,011 and how to find them.

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