Q: What is the total or count of factors of the number 20,373,750?

 A: 60

How do I find the total factors of the number 20,373,750?

Step 1

Find the prime factorization of the number 20,373,750.

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

Factor Tree
20,373,750
Factor Arrows
210,186,875
Factor Arrows
33,395,625
Factor Arrows
31,131,875
Factor Arrows
5226,375
Factor Arrows
545,275
Factor Arrows
59,055
Factor Arrows
51,811

The prime factorization in exponential form is: 21 x 32 x 54 x 1,8111

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.

20,373,750 = 21 x 32 x 54 x 1,8111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(20373750) = (1 + 1)(2 + 1)(4 + 1)(1 + 1)
Down Arrow
d(20373750) = (2)(3)(5)(2)
Down Arrow
d(20373750) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 20,373,750 and how to find them.

Try the factor calculator.

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