Q: What is the total or count of factors of the number 265,612,536?

 A: 144

How do I find the total factors of the number 265,612,536?

Step 1

Find the prime factorization of the number 265,612,536.

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

Factor Tree
265,612,536
Factor Arrows
2132,806,268
Factor Arrows
266,403,134
Factor Arrows
233,201,567
Factor Arrows
311,067,189
Factor Arrows
33,689,063
Factor Arrows
7527,009
Factor Arrows
775,287
Factor Arrows
79953

The prime factorization in exponential form is: 23 x 32 x 72 x 791 x 9531

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.

265,612,536 = 23 x 32 x 72 x 791 x 9531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(265612536) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(265612536) = (4)(3)(3)(2)(2)
Down Arrow
d(265612536) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 265,612,536 and how to find them.

Try the factor calculator.

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