Q: What is the total or count of factors of the number 998,162?

 A: 16

How do I find the total factors of the number 998,162?

Step 1

Find the prime factorization of the number 998,162.

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

Factor Tree
998,162
Factor Arrows
2499,081
Factor Arrows
1145,371
Factor Arrows
59769

The prime factorization in exponential form is: 21 x 111 x 591 x 7691

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.

998,162 = 21 x 111 x 591 x 7691
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(998162) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(998162) = (2)(2)(2)(2)
Down Arrow
d(998162) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 998,162 and how to find them.

Try the factor calculator.

Explore more about the number 998,162:


Ask a Question