Q: What is the total or count of factors of the number 19,627,866?

 A: 64

How do I find the total factors of the number 19,627,866?

Step 1

Find the prime factorization of the number 19,627,866.

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

Factor Tree
19,627,866
Factor Arrows
29,813,933
Factor Arrows
33,271,311
Factor Arrows
31,090,437
Factor Arrows
3363,479
Factor Arrows
438,453
Factor Arrows
79107

The prime factorization in exponential form is: 21 x 33 x 431 x 791 x 1071

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.

19,627,866 = 21 x 33 x 431 x 791 x 1071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(19627866) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(19627866) = (2)(4)(2)(2)(2)
Down Arrow
d(19627866) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 19,627,866 and how to find them.

Try the factor calculator.

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