Q: What is the total or count of factors of the number 4,080,640?

 A: 44

How do I find the total factors of the number 4,080,640?

Step 1

Find the prime factorization of the number 4,080,640.

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

Factor Tree
4,080,640
Factor Arrows
22,040,320
Factor Arrows
21,020,160
Factor Arrows
2510,080
Factor Arrows
2255,040
Factor Arrows
2127,520
Factor Arrows
263,760
Factor Arrows
231,880
Factor Arrows
215,940
Factor Arrows
27,970
Factor Arrows
23,985
Factor Arrows
5797

The prime factorization in exponential form is: 210 x 51 x 7971

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.

4,080,640 = 210 x 51 x 7971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(4080640) = (10 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4080640) = (11)(2)(2)
Down Arrow
d(4080640) = 44

More numbers for you to try

Take a look at the factors page to see the factors of 4,080,640 and how to find them.

Try the factor calculator.

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