Q: What is the total or count of factors of the number 19,734,645?

 A: 32

How do I find the total factors of the number 19,734,645?

Step 1

Find the prime factorization of the number 19,734,645.

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

Factor Tree
19,734,645
Factor Arrows
36,578,215
Factor Arrows
51,315,643
Factor Arrows
7187,949
Factor Arrows
296,481

The prime factorization in exponential form is: 31 x 51 x 71 x 291 x 6,4811

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.

19,734,645 = 31 x 51 x 71 x 291 x 6,4811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(19734645) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(19734645) = (2)(2)(2)(2)(2)
Down Arrow
d(19734645) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 19,734,645 and how to find them.

Try the factor calculator.

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