Q: What is the total or count of factors of the number 25,440,064?

 A: 28

How do I find the total factors of the number 25,440,064?

Step 1

Find the prime factorization of the number 25,440,064.

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

Factor Tree
25,440,064
Factor Arrows
212,720,032
Factor Arrows
26,360,016
Factor Arrows
23,180,008
Factor Arrows
21,590,004
Factor Arrows
2795,002
Factor Arrows
2397,501
Factor Arrows
1330,577

The prime factorization in exponential form is: 26 x 131 x 30,5771

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

25,440,064 = 26 x 131 x 30,5771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(25440064) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(25440064) = (7)(2)(2)
Down Arrow
d(25440064) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 25,440,064 and how to find them.

Try the factor calculator.

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