Q: What is the total or count of factors of the number 26,260,668?

 A: 54

How do I find the total factors of the number 26,260,668?

Step 1

Find the prime factorization of the number 26,260,668.

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

Factor Tree
26,260,668
Factor Arrows
213,130,334
Factor Arrows
26,565,167
Factor Arrows
32,188,389
Factor Arrows
3729,463
Factor Arrows
7104,209
Factor Arrows
714,887

The prime factorization in exponential form is: 22 x 32 x 72 x 14,8871

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.

26,260,668 = 22 x 32 x 72 x 14,8871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(26260668) = (2 + 1)(2 + 1)(2 + 1)(1 + 1)
Down Arrow
d(26260668) = (3)(3)(3)(2)
Down Arrow
d(26260668) = 54

More numbers for you to try

Take a look at the factors page to see the factors of 26,260,668 and how to find them.

Try the factor calculator.

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