Q: What is the total or count of factors of the number 20,711,104?

 A: 28

How do I find the total factors of the number 20,711,104?

Step 1

Find the prime factorization of the number 20,711,104.

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

Factor Tree
20,711,104
Factor Arrows
210,355,552
Factor Arrows
25,177,776
Factor Arrows
22,588,888
Factor Arrows
21,294,444
Factor Arrows
2647,222
Factor Arrows
2323,611
Factor Arrows
2911,159

The prime factorization in exponential form is: 26 x 291 x 11,1591

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.

20,711,104 = 26 x 291 x 11,1591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(20711104) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(20711104) = (7)(2)(2)
Down Arrow
d(20711104) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 20,711,104 and how to find them.

Try the factor calculator.

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