Q: What is the total or count of factors of the number 41,341,800?

 A: 48

How do I find the total factors of the number 41,341,800?

Step 1

Find the prime factorization of the number 41,341,800.

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

Factor Tree
41,341,800
Factor Arrows
220,670,900
Factor Arrows
210,335,450
Factor Arrows
25,167,725
Factor Arrows
31,722,575
Factor Arrows
5344,515
Factor Arrows
568,903

The prime factorization in exponential form is: 23 x 31 x 52 x 68,9031

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.

41,341,800 = 23 x 31 x 52 x 68,9031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(41341800) = (3 + 1)(1 + 1)(2 + 1)(1 + 1)
Down Arrow
d(41341800) = (4)(2)(3)(2)
Down Arrow
d(41341800) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 41,341,800 and how to find them.

Try the factor calculator.

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