Q: What is the total or count of factors of the number 26,447,660?

 A: 24

How do I find the total factors of the number 26,447,660?

Step 1

Find the prime factorization of the number 26,447,660.

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

Factor Tree
26,447,660
Factor Arrows
213,223,830
Factor Arrows
26,611,915
Factor Arrows
51,322,383
Factor Arrows
6412,063

The prime factorization in exponential form is: 22 x 51 x 6411 x 2,0631

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)

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.

26,447,660 = 22 x 51 x 6411 x 2,0631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(26447660) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(26447660) = (3)(2)(2)(2)
Down Arrow
d(26447660) = 24

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Take a look at the factors page to see the factors of 26,447,660 and how to find them.

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