Q: What is the total or count of factors of the number 2,093,175?

 A: 48

How do I find the total factors of the number 2,093,175?

Step 1

Find the prime factorization of the number 2,093,175.

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

Factor Tree
2,093,175
Factor Arrows
3697,725
Factor Arrows
3232,575
Factor Arrows
377,525
Factor Arrows
515,505
Factor Arrows
53,101
Factor Arrows
7443

The prime factorization in exponential form is: 33 x 52 x 71 x 4431

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.

2,093,175 = 33 x 52 x 71 x 4431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2093175) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2093175) = (4)(3)(2)(2)
Down Arrow
d(2093175) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,093,175 and how to find them.

Try the factor calculator.

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