Q: What is the total or count of factors of the number 91,127,270?

 A: 48

How do I find the total factors of the number 91,127,270?

Step 1

Find the prime factorization of the number 91,127,270.

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

Factor Tree
91,127,270
Factor Arrows
245,563,635
Factor Arrows
59,112,727
Factor Arrows
13700,979
Factor Arrows
5911,881
Factor Arrows
109109

The prime factorization in exponential form is: 21 x 51 x 131 x 591 x 1092

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)

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.

91,127,270 = 21 x 51 x 131 x 591 x 1092
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(91127270) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(2 + 1)
Down Arrow
d(91127270) = (2)(2)(2)(2)(3)
Down Arrow
d(91127270) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 91,127,270 and how to find them.

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