Q: What is the total or count of factors of the number 44,611,616?

 A: 48

How do I find the total factors of the number 44,611,616?

Step 1

Find the prime factorization of the number 44,611,616.

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

Factor Tree
44,611,616
Factor Arrows
222,305,808
Factor Arrows
211,152,904
Factor Arrows
25,576,452
Factor Arrows
22,788,226
Factor Arrows
21,394,113
Factor Arrows
7199,159
Factor Arrows
792,521

The prime factorization in exponential form is: 25 x 71 x 791 x 2,5211

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.

44,611,616 = 25 x 71 x 791 x 2,5211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(44611616) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(44611616) = (6)(2)(2)(2)
Down Arrow
d(44611616) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 44,611,616 and how to find them.

Try the factor calculator.

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