Q: What is the total or count of factors of the number 404,432,112?

 A: 40

How do I find the total factors of the number 404,432,112?

Step 1

Find the prime factorization of the number 404,432,112.

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

Factor Tree
404,432,112
Factor Arrows
2202,216,056
Factor Arrows
2101,108,028
Factor Arrows
250,554,014
Factor Arrows
225,277,007
Factor Arrows
38,425,669
Factor Arrows
71,203,667

The prime factorization in exponential form is: 24 x 31 x 71 x 1,203,6671

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.

404,432,112 = 24 x 31 x 71 x 1,203,6671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(404432112) = (4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(404432112) = (5)(2)(2)(2)
Down Arrow
d(404432112) = 40

More numbers for you to try

Take a look at the factors page to see the factors of 404,432,112 and how to find them.

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