Q: What is the total or count of factors of the number 2,082,336?

 A: 48

How do I find the total factors of the number 2,082,336?

Step 1

Find the prime factorization of the number 2,082,336.

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

Factor Tree
2,082,336
Factor Arrows
21,041,168
Factor Arrows
2520,584
Factor Arrows
2260,292
Factor Arrows
2130,146
Factor Arrows
265,073
Factor Arrows
321,691
Factor Arrows
109199

The prime factorization in exponential form is: 25 x 31 x 1091 x 1991

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.

2,082,336 = 25 x 31 x 1091 x 1991
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2082336) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2082336) = (6)(2)(2)(2)
Down Arrow
d(2082336) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,082,336 and how to find them.

Try the factor calculator.

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