Q: What is the total or count of factors of the number 2,261,120?

 A: 32

How do I find the total factors of the number 2,261,120?

Step 1

Find the prime factorization of the number 2,261,120.

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

Factor Tree
2,261,120
Factor Arrows
21,130,560
Factor Arrows
2565,280
Factor Arrows
2282,640
Factor Arrows
2141,320
Factor Arrows
270,660
Factor Arrows
235,330
Factor Arrows
217,665
Factor Arrows
53,533

The prime factorization in exponential form is: 27 x 51 x 3,5331

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.

2,261,120 = 27 x 51 x 3,5331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(2261120) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2261120) = (8)(2)(2)
Down Arrow
d(2261120) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 2,261,120 and how to find them.

Try the factor calculator.

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