Q: What is the total or count of factors of the number 26,650,470?

 A: 128

How do I find the total factors of the number 26,650,470?

Step 1

Find the prime factorization of the number 26,650,470.

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

Factor Tree
26,650,470
Factor Arrows
213,325,235
Factor Arrows
34,441,745
Factor Arrows
5888,349
Factor Arrows
7126,907
Factor Arrows
1111,537
Factor Arrows
83139

The prime factorization in exponential form is: 21 x 31 x 51 x 71 x 111 x 831 x 1391

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)(f + 1)(g + 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.

26,650,470 = 21 x 31 x 51 x 71 x 111 x 831 x 1391
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)(g + 1)
Down Arrow
d(26650470) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(26650470) = (2)(2)(2)(2)(2)(2)(2)
Down Arrow
d(26650470) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 26,650,470 and how to find them.

Try the factor calculator.

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