Q: What is the total or count of factors of the number 388,352?

 A: 36

How do I find the total factors of the number 388,352?

Step 1

Find the prime factorization of the number 388,352.

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

Factor Tree
388,352
Factor Arrows
2194,176
Factor Arrows
297,088
Factor Arrows
248,544
Factor Arrows
224,272
Factor Arrows
212,136
Factor Arrows
26,068
Factor Arrows
23,034
Factor Arrows
21,517
Factor Arrows
3741

The prime factorization in exponential form is: 28 x 371 x 411

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

388,352 = 28 x 371 x 411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(388352) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(388352) = (9)(2)(2)
Down Arrow
d(388352) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 388,352 and how to find them.

Try the factor calculator.

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