Q: What is the total or count of factors of the number 52,533,024?

 A: 96

How do I find the total factors of the number 52,533,024?

Step 1

Find the prime factorization of the number 52,533,024.

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

Factor Tree
52,533,024
Factor Arrows
226,266,512
Factor Arrows
213,133,256
Factor Arrows
26,566,628
Factor Arrows
23,283,314
Factor Arrows
21,641,657
Factor Arrows
3547,219
Factor Arrows
1928,801
Factor Arrows
83347

The prime factorization in exponential form is: 25 x 31 x 191 x 831 x 3471

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.

52,533,024 = 25 x 31 x 191 x 831 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(52533024) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(52533024) = (6)(2)(2)(2)(2)
Down Arrow
d(52533024) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 52,533,024 and how to find them.

Try the factor calculator.

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