Q: What is the total or count of factors of the number 41,473,660?

 A: 48

How do I find the total factors of the number 41,473,660?

Step 1

Find the prime factorization of the number 41,473,660.

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

Factor Tree
41,473,660
Factor Arrows
220,736,830
Factor Arrows
210,368,415
Factor Arrows
52,073,683
Factor Arrows
3166,893
Factor Arrows
151443

The prime factorization in exponential form is: 22 x 51 x 311 x 1511 x 4431

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.

41,473,660 = 22 x 51 x 311 x 1511 x 4431
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(41473660) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(41473660) = (3)(2)(2)(2)(2)
Down Arrow
d(41473660) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 41,473,660 and how to find them.

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