Q: What is the total or count of factors of the number 944,352?

 A: 48

How do I find the total factors of the number 944,352?

Step 1

Find the prime factorization of the number 944,352.

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

Factor Tree
944,352
Factor Arrows
2472,176
Factor Arrows
2236,088
Factor Arrows
2118,044
Factor Arrows
259,022
Factor Arrows
229,511
Factor Arrows
39,837
Factor Arrows
33,279
Factor Arrows
31,093

The prime factorization in exponential form is: 25 x 33 x 1,0931

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

944,352 = 25 x 33 x 1,0931
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(944352) = (5 + 1)(3 + 1)(1 + 1)
Down Arrow
d(944352) = (6)(4)(2)
Down Arrow
d(944352) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 944,352 and how to find them.

Try the factor calculator.

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