Q: What is the total or count of factors of the number 3,166,200?

 A: 72

How do I find the total factors of the number 3,166,200?

Step 1

Find the prime factorization of the number 3,166,200.

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

Factor Tree
3,166,200
Factor Arrows
21,583,100
Factor Arrows
2791,550
Factor Arrows
2395,775
Factor Arrows
3131,925
Factor Arrows
343,975
Factor Arrows
58,795
Factor Arrows
51,759

The prime factorization in exponential form is: 23 x 32 x 52 x 1,7591

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)

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.

3,166,200 = 23 x 32 x 52 x 1,7591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3166200) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(3166200) = (4)(3)(3)(2)
Down Arrow
d(3166200) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 3,166,200 and how to find them.

Try the factor calculator.

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