Q: What is the total or count of factors of the number 4,802,600?

 A: 96

How do I find the total factors of the number 4,802,600?

Step 1

Find the prime factorization of the number 4,802,600.

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

Factor Tree
4,802,600
Factor Arrows
22,401,300
Factor Arrows
21,200,650
Factor Arrows
2600,325
Factor Arrows
5120,065
Factor Arrows
524,013
Factor Arrows
112,183
Factor Arrows
3759

The prime factorization in exponential form is: 23 x 52 x 111 x 371 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.

4,802,600 = 23 x 52 x 111 x 371 x 591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(4802600) = (3 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4802600) = (4)(3)(2)(2)(2)
Down Arrow
d(4802600) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 4,802,600 and how to find them.

Try the factor calculator.

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