Q: What is the total or count of factors of the number 47,464,011?

 A: 24

How do I find the total factors of the number 47,464,011?

Step 1

Find the prime factorization of the number 47,464,011.

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

Factor Tree
47,464,011
Factor Arrows
315,821,337
Factor Arrows
35,273,779
Factor Arrows
7753,397
Factor Arrows
827911

The prime factorization in exponential form is: 32 x 71 x 8271 x 9111

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.

47,464,011 = 32 x 71 x 8271 x 9111
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(47464011) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(47464011) = (3)(2)(2)(2)
Down Arrow
d(47464011) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 47,464,011 and how to find them.

Try the factor calculator.

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