Q: What is the total or count of factors of the number 12,616,650?

 A: 108

How do I find the total factors of the number 12,616,650?

Step 1

Find the prime factorization of the number 12,616,650.

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

Factor Tree
12,616,650
Factor Arrows
26,308,325
Factor Arrows
32,102,775
Factor Arrows
3700,925
Factor Arrows
5140,185
Factor Arrows
528,037
Factor Arrows
231,219
Factor Arrows
2353

The prime factorization in exponential form is: 21 x 32 x 52 x 232 x 531

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)(e + 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.

12,616,650 = 21 x 32 x 52 x 232 x 531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(12616650) = (1 + 1)(2 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(12616650) = (2)(3)(3)(3)(2)
Down Arrow
d(12616650) = 108

More numbers for you to try

Take a look at the factors page to see the factors of 12,616,650 and how to find them.

Try the factor calculator.

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