Q: What is the total or count of factors of the number 44,521,344?

 A: 96

How do I find the total factors of the number 44,521,344?

Step 1

Find the prime factorization of the number 44,521,344.

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

Factor Tree
44,521,344
Factor Arrows
222,260,672
Factor Arrows
211,130,336
Factor Arrows
25,565,168
Factor Arrows
22,782,584
Factor Arrows
21,391,292
Factor Arrows
2695,646
Factor Arrows
2347,823
Factor Arrows
3115,941
Factor Arrows
338,647
Factor Arrows
75,521

The prime factorization in exponential form is: 27 x 32 x 71 x 5,5211

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.

44,521,344 = 27 x 32 x 71 x 5,5211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(44521344) = (7 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(44521344) = (8)(3)(2)(2)
Down Arrow
d(44521344) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 44,521,344 and how to find them.

Try the factor calculator.

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