Q: What is the total or count of factors of the number 162,437,457?

 A: 32

How do I find the total factors of the number 162,437,457?

Step 1

Find the prime factorization of the number 162,437,457.

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

Factor Tree
162,437,457
Factor Arrows
354,145,819
Factor Arrows
77,735,117
Factor Arrows
13595,009
Factor Arrows
3171,877

The prime factorization in exponential form is: 31 x 71 x 131 x 3171 x 1,8771

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.

162,437,457 = 31 x 71 x 131 x 3171 x 1,8771
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(162437457) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(162437457) = (2)(2)(2)(2)(2)
Down Arrow
d(162437457) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 162,437,457 and how to find them.

Try the factor calculator.

Explore more about the number 162,437,457:


Ask a Question