Q: What is the total or count of factors of the number 123,551,532?

 A: 144

How do I find the total factors of the number 123,551,532?

Step 1

Find the prime factorization of the number 123,551,532.

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

Factor Tree
123,551,532
Factor Arrows
261,775,766
Factor Arrows
230,887,883
Factor Arrows
310,295,961
Factor Arrows
33,431,987
Factor Arrows
13263,999
Factor Arrows
416,439
Factor Arrows
47137

The prime factorization in exponential form is: 22 x 32 x 131 x 411 x 471 x 1371

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)(f + 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.

123,551,532 = 22 x 32 x 131 x 411 x 471 x 1371
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(123551532) = (2 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(123551532) = (3)(3)(2)(2)(2)(2)
Down Arrow
d(123551532) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 123,551,532 and how to find them.

Try the factor calculator.

Explore more about the number 123,551,532:


Ask a Question