Q: What is the total or count of factors of the number 2,803,548?

 A: 48

How do I find the total factors of the number 2,803,548?

Step 1

Find the prime factorization of the number 2,803,548.

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

Factor Tree
2,803,548
Factor Arrows
21,401,774
Factor Arrows
2700,887
Factor Arrows
3233,629
Factor Arrows
1121,239
Factor Arrows
67317

The prime factorization in exponential form is: 22 x 31 x 111 x 671 x 3171

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.

2,803,548 = 22 x 31 x 111 x 671 x 3171
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(2803548) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2803548) = (3)(2)(2)(2)(2)
Down Arrow
d(2803548) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 2,803,548 and how to find them.

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