Q: What is the total or count of factors of the number 21,303,432?

 A: 32

How do I find the total factors of the number 21,303,432?

Step 1

Find the prime factorization of the number 21,303,432.

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

Factor Tree
21,303,432
Factor Arrows
210,651,716
Factor Arrows
25,325,858
Factor Arrows
22,662,929
Factor Arrows
3887,643
Factor Arrows
3295,881
Factor Arrows
398,627

The prime factorization in exponential form is: 23 x 33 x 98,6271

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.

21,303,432 = 23 x 33 x 98,6271
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(21303432) = (3 + 1)(3 + 1)(1 + 1)
Down Arrow
d(21303432) = (4)(4)(2)
Down Arrow
d(21303432) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 21,303,432 and how to find them.

Try the factor calculator.

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