Q: What is the total or count of factors of the number 885,192?

 A: 64

How do I find the total factors of the number 885,192?

Step 1

Find the prime factorization of the number 885,192.

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

Factor Tree
885,192
Factor Arrows
2442,596
Factor Arrows
2221,298
Factor Arrows
2110,649
Factor Arrows
336,883
Factor Arrows
75,269
Factor Arrows
11479

The prime factorization in exponential form is: 23 x 31 x 71 x 111 x 4791

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.

885,192 = 23 x 31 x 71 x 111 x 4791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(885192) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(885192) = (4)(2)(2)(2)(2)
Down Arrow
d(885192) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 885,192 and how to find them.

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