Q: What is the total or count of factors of the number 3,300,183?

 A: 18

How do I find the total factors of the number 3,300,183?

Step 1

Find the prime factorization of the number 3,300,183.

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

Factor Tree
3,300,183
Factor Arrows
31,100,061
Factor Arrows
3366,687
Factor Arrows
3122,229
Factor Arrows
340,743
Factor Arrows
313,581
Factor Arrows
34,527
Factor Arrows
31,509
Factor Arrows
3503

The prime factorization in exponential form is: 38 x 5031

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

3,300,183 = 38 x 5031
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(3300183) = (8 + 1)(1 + 1)
Down Arrow
d(3300183) = (9)(2)
Down Arrow
d(3300183) = 18

More numbers for you to try

Take a look at the factors page to see the factors of 3,300,183 and how to find them.

Try the factor calculator.

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