Q: What is the total or count of factors of the number 328,950?

 A: 72

How do I find the total factors of the number 328,950?

Step 1

Find the prime factorization of the number 328,950.

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

Factor Tree
328,950
Factor Arrows
2164,475
Factor Arrows
354,825
Factor Arrows
318,275
Factor Arrows
53,655
Factor Arrows
5731
Factor Arrows
1743

The prime factorization in exponential form is: 21 x 32 x 52 x 171 x 431

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.

328,950 = 21 x 32 x 52 x 171 x 431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(328950) = (1 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(328950) = (2)(3)(3)(2)(2)
Down Arrow
d(328950) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 328,950 and how to find them.

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