Q: What is the total or count of factors of the number 11,052,045?

 A: 40

How do I find the total factors of the number 11,052,045?

Step 1

Find the prime factorization of the number 11,052,045.

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

Factor Tree
11,052,045
Factor Arrows
33,684,015
Factor Arrows
31,228,005
Factor Arrows
3409,335
Factor Arrows
3136,445
Factor Arrows
527,289
Factor Arrows
29941

The prime factorization in exponential form is: 34 x 51 x 291 x 9411

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.

11,052,045 = 34 x 51 x 291 x 9411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(11052045) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(11052045) = (5)(2)(2)(2)
Down Arrow
d(11052045) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 11,052,045 and how to find them.

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