Q: What is the total or count of factors of the number 25,655,712?

 A: 48

How do I find the total factors of the number 25,655,712?

Step 1

Find the prime factorization of the number 25,655,712.

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

Factor Tree
25,655,712
Factor Arrows
212,827,856
Factor Arrows
26,413,928
Factor Arrows
23,206,964
Factor Arrows
21,603,482
Factor Arrows
2801,741
Factor Arrows
3267,247
Factor Arrows
1791,493

The prime factorization in exponential form is: 25 x 31 x 1791 x 1,4931

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)

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.

25,655,712 = 25 x 31 x 1791 x 1,4931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(25655712) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(25655712) = (6)(2)(2)(2)
Down Arrow
d(25655712) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 25,655,712 and how to find them.

Try the factor calculator.

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