Q: What is the total or count of factors of the number 333,344,220?

 A: 48

How do I find the total factors of the number 333,344,220?

Step 1

Find the prime factorization of the number 333,344,220.

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

Factor Tree
333,344,220
Factor Arrows
2166,672,110
Factor Arrows
283,336,055
Factor Arrows
327,778,685
Factor Arrows
55,555,737
Factor Arrows
11505,067

The prime factorization in exponential form is: 22 x 31 x 51 x 111 x 505,0671

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.

333,344,220 = 22 x 31 x 51 x 111 x 505,0671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(333344220) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(333344220) = (3)(2)(2)(2)(2)
Down Arrow
d(333344220) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 333,344,220 and how to find them.

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