Q: What is the total or count of factors of the number 26,247,240?

 A: 80

How do I find the total factors of the number 26,247,240?

Step 1

Find the prime factorization of the number 26,247,240.

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

Factor Tree
26,247,240
Factor Arrows
213,123,620
Factor Arrows
26,561,810
Factor Arrows
23,280,905
Factor Arrows
31,093,635
Factor Arrows
3364,545
Factor Arrows
3121,515
Factor Arrows
340,505
Factor Arrows
58,101

The prime factorization in exponential form is: 23 x 34 x 51 x 8,1011

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.

26,247,240 = 23 x 34 x 51 x 8,1011
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(26247240) = (3 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(26247240) = (4)(5)(2)(2)
Down Arrow
d(26247240) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 26,247,240 and how to find them.

Try the factor calculator.

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