Q: What is the total or count of factors of the number 888,822?

 A: 36

How do I find the total factors of the number 888,822?

Step 1

Find the prime factorization of the number 888,822.

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

Factor Tree
888,822
Factor Arrows
2444,411
Factor Arrows
3148,137
Factor Arrows
349,379
Factor Arrows
114,489
Factor Arrows
6767

The prime factorization in exponential form is: 21 x 32 x 111 x 672

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.

888,822 = 21 x 32 x 111 x 672
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(888822) = (1 + 1)(2 + 1)(1 + 1)(2 + 1)
Down Arrow
d(888822) = (2)(3)(2)(3)
Down Arrow
d(888822) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 888,822 and how to find them.

Try the factor calculator.

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