Q: What is the total or count of factors of the number 10,341,550?

 A: 24

How do I find the total factors of the number 10,341,550?

Step 1

Find the prime factorization of the number 10,341,550.

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

Factor Tree
10,341,550
Factor Arrows
25,170,775
Factor Arrows
51,034,155
Factor Arrows
5206,831
Factor Arrows
1071,933

The prime factorization in exponential form is: 21 x 52 x 1071 x 1,9331

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.

10,341,550 = 21 x 52 x 1071 x 1,9331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(10341550) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(10341550) = (2)(3)(2)(2)
Down Arrow
d(10341550) = 24

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Take a look at the factors page to see the factors of 10,341,550 and how to find them.

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