Q: What is the total or count of factors of the number 25,533,456?

 A: 160

How do I find the total factors of the number 25,533,456?

Step 1

Find the prime factorization of the number 25,533,456.

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

Factor Tree
25,533,456
Factor Arrows
212,766,728
Factor Arrows
26,383,364
Factor Arrows
23,191,682
Factor Arrows
21,595,841
Factor Arrows
3531,947
Factor Arrows
1340,919
Factor Arrows
172,407
Factor Arrows
2983

The prime factorization in exponential form is: 24 x 31 x 131 x 171 x 291 x 831

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.

25,533,456 = 24 x 31 x 131 x 171 x 291 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(25533456) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(25533456) = (5)(2)(2)(2)(2)(2)
Down Arrow
d(25533456) = 160

More numbers for you to try

Take a look at the factors page to see the factors of 25,533,456 and how to find them.

Try the factor calculator.

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