Q: What is the total or count of factors of the number 201,431,600?

 A: 60

How do I find the total factors of the number 201,431,600?

Step 1

Find the prime factorization of the number 201,431,600.

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

Factor Tree
201,431,600
Factor Arrows
2100,715,800
Factor Arrows
250,357,900
Factor Arrows
225,178,950
Factor Arrows
212,589,475
Factor Arrows
52,517,895
Factor Arrows
5503,579
Factor Arrows
4331,163

The prime factorization in exponential form is: 24 x 52 x 4331 x 1,1631

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.

201,431,600 = 24 x 52 x 4331 x 1,1631
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(201431600) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(201431600) = (5)(3)(2)(2)
Down Arrow
d(201431600) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 201,431,600 and how to find them.

Try the factor calculator.

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