Q: What is the total or count of factors of the number 12,450,176?

 A: 32

How do I find the total factors of the number 12,450,176?

Step 1

Find the prime factorization of the number 12,450,176.

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

Factor Tree
12,450,176
Factor Arrows
26,225,088
Factor Arrows
23,112,544
Factor Arrows
21,556,272
Factor Arrows
2778,136
Factor Arrows
2389,068
Factor Arrows
2194,534
Factor Arrows
297,267
Factor Arrows
234,229

The prime factorization in exponential form is: 27 x 231 x 4,2291

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.

12,450,176 = 27 x 231 x 4,2291
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(12450176) = (7 + 1)(1 + 1)(1 + 1)
Down Arrow
d(12450176) = (8)(2)(2)
Down Arrow
d(12450176) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 12,450,176 and how to find them.

Try the factor calculator.

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