Q: What is the total or count of factors of the number 166,625,228?

 A: 96

How do I find the total factors of the number 166,625,228?

Step 1

Find the prime factorization of the number 166,625,228.

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

Factor Tree
166,625,228
Factor Arrows
283,312,614
Factor Arrows
241,656,307
Factor Arrows
75,950,901
Factor Arrows
11540,991
Factor Arrows
1149,181
Factor Arrows
114,471
Factor Arrows
17263

The prime factorization in exponential form is: 22 x 71 x 113 x 171 x 2631

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.

166,625,228 = 22 x 71 x 113 x 171 x 2631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(166625228) = (2 + 1)(1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(166625228) = (3)(2)(4)(2)(2)
Down Arrow
d(166625228) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 166,625,228 and how to find them.

Try the factor calculator.

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