Q: What is the total or count of factors of the number 5,252,445?

 A: 56

How do I find the total factors of the number 5,252,445?

Step 1

Find the prime factorization of the number 5,252,445.

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

Factor Tree
5,252,445
Factor Arrows
31,750,815
Factor Arrows
3583,605
Factor Arrows
3194,535
Factor Arrows
364,845
Factor Arrows
321,615
Factor Arrows
37,205
Factor Arrows
51,441
Factor Arrows
11131

The prime factorization in exponential form is: 36 x 51 x 111 x 1311

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.

5,252,445 = 36 x 51 x 111 x 1311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(5252445) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(5252445) = (7)(2)(2)(2)
Down Arrow
d(5252445) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 5,252,445 and how to find them.

Try the factor calculator.

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