Q: What is the total or count of factors of the number 453,230,016?

 A: 56

How do I find the total factors of the number 453,230,016?

Step 1

Find the prime factorization of the number 453,230,016.

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

Factor Tree
453,230,016
Factor Arrows
2226,615,008
Factor Arrows
2113,307,504
Factor Arrows
256,653,752
Factor Arrows
228,326,876
Factor Arrows
214,163,438
Factor Arrows
27,081,719
Factor Arrows
32,360,573
Factor Arrows
22710,399

The prime factorization in exponential form is: 26 x 31 x 2271 x 10,3991

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.

453,230,016 = 26 x 31 x 2271 x 10,3991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(453230016) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(453230016) = (7)(2)(2)(2)
Down Arrow
d(453230016) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 453,230,016 and how to find them.

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