Q: What is the total or count of factors of the number 26,211,070?

 A: 64

How do I find the total factors of the number 26,211,070?

Step 1

Find the prime factorization of the number 26,211,070.

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

Factor Tree
26,211,070
Factor Arrows
213,105,535
Factor Arrows
52,621,107
Factor Arrows
19137,953
Factor Arrows
294,757
Factor Arrows
6771

The prime factorization in exponential form is: 21 x 51 x 191 x 291 x 671 x 711

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)

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.

26,211,070 = 21 x 51 x 191 x 291 x 671 x 711
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(26211070) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(26211070) = (2)(2)(2)(2)(2)(2)
Down Arrow
d(26211070) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 26,211,070 and how to find them.

Try the factor calculator.

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