Q: What is the total or count of factors of the number 557,252,832?

 A: 72

How do I find the total factors of the number 557,252,832?

Step 1

Find the prime factorization of the number 557,252,832.

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

Factor Tree
557,252,832
Factor Arrows
2278,626,416
Factor Arrows
2139,313,208
Factor Arrows
269,656,604
Factor Arrows
234,828,302
Factor Arrows
217,414,151
Factor Arrows
35,804,717
Factor Arrows
23252,379
Factor Arrows
2310,973

The prime factorization in exponential form is: 25 x 31 x 232 x 10,9731

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.

557,252,832 = 25 x 31 x 232 x 10,9731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(557252832) = (5 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(557252832) = (6)(2)(3)(2)
Down Arrow
d(557252832) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 557,252,832 and how to find them.

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