Q: What is the total or count of factors of the number 113,330,294?

 A: 48

How do I find the total factors of the number 113,330,294?

Step 1

Find the prime factorization of the number 113,330,294.

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

Factor Tree
113,330,294
Factor Arrows
256,665,147
Factor Arrows
78,095,021
Factor Arrows
11735,911
Factor Arrows
1166,901
Factor Arrows
149449

The prime factorization in exponential form is: 21 x 71 x 112 x 1491 x 4491

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.

113,330,294 = 21 x 71 x 112 x 1491 x 4491
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(113330294) = (1 + 1)(1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(113330294) = (2)(2)(3)(2)(2)
Down Arrow
d(113330294) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 113,330,294 and how to find them.

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