Q: What is the total or count of factors of the number 10,905,408?

 A: 56

How do I find the total factors of the number 10,905,408?

Step 1

Find the prime factorization of the number 10,905,408.

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

Factor Tree
10,905,408
Factor Arrows
25,452,704
Factor Arrows
22,726,352
Factor Arrows
21,363,176
Factor Arrows
2681,588
Factor Arrows
2340,794
Factor Arrows
2170,397
Factor Arrows
356,799
Factor Arrows
318,933
Factor Arrows
36,311

The prime factorization in exponential form is: 26 x 33 x 6,3111

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.

10,905,408 = 26 x 33 x 6,3111
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d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(10905408) = (6 + 1)(3 + 1)(1 + 1)
Down Arrow
d(10905408) = (7)(4)(2)
Down Arrow
d(10905408) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 10,905,408 and how to find them.

Try the factor calculator.

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