Q: What is the total or count of factors of the number 115,687,143?

 A: 96

How do I find the total factors of the number 115,687,143?

Step 1

Find the prime factorization of the number 115,687,143.

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

Factor Tree
115,687,143
Factor Arrows
338,562,381
Factor Arrows
312,854,127
Factor Arrows
34,284,709
Factor Arrows
11389,519
Factor Arrows
1329,963
Factor Arrows
191,577
Factor Arrows
1983

The prime factorization in exponential form is: 33 x 111 x 131 x 192 x 831

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.

115,687,143 = 33 x 111 x 131 x 192 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(115687143) = (3 + 1)(1 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(115687143) = (4)(2)(2)(3)(2)
Down Arrow
d(115687143) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 115,687,143 and how to find them.

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