Q: What is the total or count of factors of the number 2,804,112?

 A: 40

How do I find the total factors of the number 2,804,112?

Step 1

Find the prime factorization of the number 2,804,112.

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

Factor Tree
2,804,112
Factor Arrows
21,402,056
Factor Arrows
2701,028
Factor Arrows
2350,514
Factor Arrows
2175,257
Factor Arrows
358,419
Factor Arrows
319,473
Factor Arrows
36,491

The prime factorization in exponential form is: 24 x 33 x 6,4911

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

2,804,112 = 24 x 33 x 6,4911
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(2804112) = (4 + 1)(3 + 1)(1 + 1)
Down Arrow
d(2804112) = (5)(4)(2)
Down Arrow
d(2804112) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 2,804,112 and how to find them.

Try the factor calculator.

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