Q: What is the total or count of factors of the number 5,485,376?

 A: 56

How do I find the total factors of the number 5,485,376?

Step 1

Find the prime factorization of the number 5,485,376.

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

Factor Tree
5,485,376
Factor Arrows
22,742,688
Factor Arrows
21,371,344
Factor Arrows
2685,672
Factor Arrows
2342,836
Factor Arrows
2171,418
Factor Arrows
285,709
Factor Arrows
136,593
Factor Arrows
19347

The prime factorization in exponential form is: 26 x 131 x 191 x 3471

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.

5,485,376 = 26 x 131 x 191 x 3471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(5485376) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(5485376) = (7)(2)(2)(2)
Down Arrow
d(5485376) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 5,485,376 and how to find them.

Try the factor calculator.

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