Q: What is the total or count of factors of the number 166,702,848?

 A: 144

How do I find the total factors of the number 166,702,848?

Step 1

Find the prime factorization of the number 166,702,848.

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

Factor Tree
166,702,848
Factor Arrows
283,351,424
Factor Arrows
241,675,712
Factor Arrows
220,837,856
Factor Arrows
210,418,928
Factor Arrows
25,209,464
Factor Arrows
22,604,732
Factor Arrows
21,302,366
Factor Arrows
2651,183
Factor Arrows
3217,061
Factor Arrows
1316,697
Factor Arrows
59283

The prime factorization in exponential form is: 28 x 31 x 131 x 591 x 2831

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.

166,702,848 = 28 x 31 x 131 x 591 x 2831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(166702848) = (8 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(166702848) = (9)(2)(2)(2)(2)
Down Arrow
d(166702848) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 166,702,848 and how to find them.

Try the factor calculator.

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