Q: What is the total or count of factors of the number 2,017,800?

 A: 144

How do I find the total factors of the number 2,017,800?

Step 1

Find the prime factorization of the number 2,017,800.

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

Factor Tree
2,017,800
Factor Arrows
21,008,900
Factor Arrows
2504,450
Factor Arrows
2252,225
Factor Arrows
384,075
Factor Arrows
328,025
Factor Arrows
55,605
Factor Arrows
51,121
Factor Arrows
1959

The prime factorization in exponential form is: 23 x 32 x 52 x 191 x 591

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.

2,017,800 = 23 x 32 x 52 x 191 x 591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2017800) = (3 + 1)(2 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2017800) = (4)(3)(3)(2)(2)
Down Arrow
d(2017800) = 144

More numbers for you to try

Take a look at the factors page to see the factors of 2,017,800 and how to find them.

Try the factor calculator.

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