Q: What is the total or count of factors of the number 126,540,575?

 A: 12

How do I find the total factors of the number 126,540,575?

Step 1

Find the prime factorization of the number 126,540,575.

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

Factor Tree
126,540,575
Factor Arrows
525,308,115
Factor Arrows
55,061,623
Factor Arrows
7723,089

The prime factorization in exponential form is: 52 x 71 x 723,0891

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

126,540,575 = 52 x 71 x 723,0891
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d(n) = (a + 1)(b + 1)(c + 1)
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d(126540575) = (2 + 1)(1 + 1)(1 + 1)
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d(126540575) = (3)(2)(2)
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d(126540575) = 12

More numbers for you to try

Take a look at the factors page to see the factors of 126,540,575 and how to find them.

Try the factor calculator.

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