Q: What is the total or count of factors of the number 3,288,330?

 A: 64

How do I find the total factors of the number 3,288,330?

Step 1

Find the prime factorization of the number 3,288,330.

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

Factor Tree
3,288,330
Factor Arrows
21,644,165
Factor Arrows
3548,055
Factor Arrows
3182,685
Factor Arrows
360,895
Factor Arrows
512,179
Factor Arrows
19641

The prime factorization in exponential form is: 21 x 33 x 51 x 191 x 6411

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.

3,288,330 = 21 x 33 x 51 x 191 x 6411
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(3288330) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3288330) = (2)(4)(2)(2)(2)
Down Arrow
d(3288330) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 3,288,330 and how to find them.

Try the factor calculator.

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