Q: What is the total or count of factors of the number 4,109,130?

 A: 96

How do I find the total factors of the number 4,109,130?

Step 1

Find the prime factorization of the number 4,109,130.

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

Factor Tree
4,109,130
Factor Arrows
22,054,565
Factor Arrows
3684,855
Factor Arrows
3228,285
Factor Arrows
376,095
Factor Arrows
325,365
Factor Arrows
38,455
Factor Arrows
51,691
Factor Arrows
1989

The prime factorization in exponential form is: 21 x 35 x 51 x 191 x 891

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)

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.

4,109,130 = 21 x 35 x 51 x 191 x 891
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(4109130) = (1 + 1)(5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4109130) = (2)(6)(2)(2)(2)
Down Arrow
d(4109130) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 4,109,130 and how to find them.

Try the factor calculator.

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