Q: What is the total or count of factors of the number 3,849,472?

 A: 36

How do I find the total factors of the number 3,849,472?

Step 1

Find the prime factorization of the number 3,849,472.

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

Factor Tree
3,849,472
Factor Arrows
21,924,736
Factor Arrows
2962,368
Factor Arrows
2481,184
Factor Arrows
2240,592
Factor Arrows
2120,296
Factor Arrows
260,148
Factor Arrows
230,074
Factor Arrows
215,037
Factor Arrows
111,367

The prime factorization in exponential form is: 28 x 111 x 1,3671

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.

3,849,472 = 28 x 111 x 1,3671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(3849472) = (8 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3849472) = (9)(2)(2)
Down Arrow
d(3849472) = 36

More numbers for you to try

Take a look at the factors page to see the factors of 3,849,472 and how to find them.

Try the factor calculator.

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