Q: What is the total or count of factors of the number 127,855?

 A: 16

How do I find the total factors of the number 127,855?

Step 1

Find the prime factorization of the number 127,855.

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

Factor Tree
127,855
Factor Arrows
525,571
Factor Arrows
73,653
Factor Arrows
13281

The prime factorization in exponential form is: 51 x 71 x 131 x 2811

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.

127,855 = 51 x 71 x 131 x 2811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
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d(127855) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
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d(127855) = (2)(2)(2)(2)
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d(127855) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 127,855 and how to find them.

Try the factor calculator.

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