Q: What is the total or count of factors of the number 12,908,944?

 A: 40

How do I find the total factors of the number 12,908,944?

Step 1

Find the prime factorization of the number 12,908,944.

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

Factor Tree
12,908,944
Factor Arrows
26,454,472
Factor Arrows
23,227,236
Factor Arrows
21,613,618
Factor Arrows
2806,809
Factor Arrows
2927,821
Factor Arrows
43647

The prime factorization in exponential form is: 24 x 291 x 431 x 6471

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.

12,908,944 = 24 x 291 x 431 x 6471
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(12908944) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(12908944) = (5)(2)(2)(2)
Down Arrow
d(12908944) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 12,908,944 and how to find them.

Try the factor calculator.

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