Q: What is the total or count of factors of the number 53,330,424?

 A: 96

How do I find the total factors of the number 53,330,424?

Step 1

Find the prime factorization of the number 53,330,424.

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

Factor Tree
53,330,424
Factor Arrows
226,665,212
Factor Arrows
213,332,606
Factor Arrows
26,666,303
Factor Arrows
32,222,101
Factor Arrows
7317,443
Factor Arrows
745,349
Factor Arrows
101449

The prime factorization in exponential form is: 23 x 31 x 72 x 1011 x 4491

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)(e + 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.

53,330,424 = 23 x 31 x 72 x 1011 x 4491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(53330424) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(53330424) = (4)(2)(3)(2)(2)
Down Arrow
d(53330424) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 53,330,424 and how to find them.

Try the factor calculator.

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