Q: What is the total or count of factors of the number 322,311,262?

 A: 32

How do I find the total factors of the number 322,311,262?

Step 1

Find the prime factorization of the number 322,311,262.

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

Factor Tree
322,311,262
Factor Arrows
2161,155,631
Factor Arrows
723,022,233
Factor Arrows
131,770,941
Factor Arrows
17104,173

The prime factorization in exponential form is: 21 x 71 x 131 x 171 x 104,1731

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.

322,311,262 = 21 x 71 x 131 x 171 x 104,1731
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(322311262) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(322311262) = (2)(2)(2)(2)(2)
Down Arrow
d(322311262) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 322,311,262 and how to find them.

Try the factor calculator.

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