Q: What is the total or count of factors of the number 2,197,195?

 A: 32

How do I find the total factors of the number 2,197,195?

Step 1

Find the prime factorization of the number 2,197,195.

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

Factor Tree
2,197,195
Factor Arrows
5439,439
Factor Arrows
762,777
Factor Arrows
115,707
Factor Arrows
13439

The prime factorization in exponential form is: 51 x 71 x 111 x 131 x 4391

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.

2,197,195 = 51 x 71 x 111 x 131 x 4391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2197195) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2197195) = (2)(2)(2)(2)(2)
Down Arrow
d(2197195) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 2,197,195 and how to find them.

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