Q: What is the total or count of factors of the number 51,547,230?

 A: 96

How do I find the total factors of the number 51,547,230?

Step 1

Find the prime factorization of the number 51,547,230.

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

Factor Tree
51,547,230
Factor Arrows
225,773,615
Factor Arrows
38,591,205
Factor Arrows
32,863,735
Factor Arrows
5572,747
Factor Arrows
781,821
Factor Arrows
174,813

The prime factorization in exponential form is: 21 x 32 x 51 x 71 x 171 x 4,8131

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)(f + 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.

51,547,230 = 21 x 32 x 51 x 71 x 171 x 4,8131
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(51547230) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(51547230) = (2)(3)(2)(2)(2)(2)
Down Arrow
d(51547230) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 51,547,230 and how to find them.

Try the factor calculator.

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