Q: What is the total or count of factors of the number 3,321,360?

 A: 120

How do I find the total factors of the number 3,321,360?

Step 1

Find the prime factorization of the number 3,321,360.

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

Factor Tree
3,321,360
Factor Arrows
21,660,680
Factor Arrows
2830,340
Factor Arrows
2415,170
Factor Arrows
2207,585
Factor Arrows
369,195
Factor Arrows
323,065
Factor Arrows
54,613
Factor Arrows
7659

The prime factorization in exponential form is: 24 x 32 x 51 x 71 x 6591

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.

3,321,360 = 24 x 32 x 51 x 71 x 6591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(3321360) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3321360) = (5)(3)(2)(2)(2)
Down Arrow
d(3321360) = 120

More numbers for you to try

Take a look at the factors page to see the factors of 3,321,360 and how to find them.

Try the factor calculator.

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