Q: What is the total or count of factors of the number 894,696?

 A: 32

How do I find the total factors of the number 894,696?

Step 1

Find the prime factorization of the number 894,696.

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

Factor Tree
894,696
Factor Arrows
2447,348
Factor Arrows
2223,674
Factor Arrows
2111,837
Factor Arrows
337,279
Factor Arrows
113,389

The prime factorization in exponential form is: 23 x 31 x 111 x 3,3891

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.

894,696 = 23 x 31 x 111 x 3,3891
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(894696) = (3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(894696) = (4)(2)(2)(2)
Down Arrow
d(894696) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 894,696 and how to find them.

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