Q: What is the total or count of factors of the number 443,525,004?

 A: 96

How do I find the total factors of the number 443,525,004?

Step 1

Find the prime factorization of the number 443,525,004.

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

Factor Tree
443,525,004
Factor Arrows
2221,762,502
Factor Arrows
2110,881,251
Factor Arrows
336,960,417
Factor Arrows
312,320,139
Factor Arrows
34,106,713
Factor Arrows
13315,901
Factor Arrows
1033,067

The prime factorization in exponential form is: 22 x 33 x 131 x 1031 x 3,0671

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)

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.

443,525,004 = 22 x 33 x 131 x 1031 x 3,0671
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(443525004) = (2 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(443525004) = (3)(4)(2)(2)(2)
Down Arrow
d(443525004) = 96

More numbers for you to try

Take a look at the factors page to see the factors of 443,525,004 and how to find them.

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