Q: What is the total or count of factors of the number 178,843,185?

 A: 24

How do I find the total factors of the number 178,843,185?

Step 1

Find the prime factorization of the number 178,843,185.

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

Factor Tree
178,843,185
Factor Arrows
359,614,395
Factor Arrows
319,871,465
Factor Arrows
53,974,293
Factor Arrows
31128,203

The prime factorization in exponential form is: 32 x 51 x 311 x 128,2031

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.

178,843,185 = 32 x 51 x 311 x 128,2031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(178843185) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(178843185) = (3)(2)(2)(2)
Down Arrow
d(178843185) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 178,843,185 and how to find them.

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