Q: What is the total or count of factors of the number 303,232,410?

 A: 192

How do I find the total factors of the number 303,232,410?

Step 1

Find the prime factorization of the number 303,232,410.

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

Factor Tree
303,232,410
Factor Arrows
2151,616,205
Factor Arrows
350,538,735
Factor Arrows
316,846,245
Factor Arrows
35,615,415
Factor Arrows
31,871,805
Factor Arrows
3623,935
Factor Arrows
5124,787
Factor Arrows
139,599
Factor Arrows
29331

The prime factorization in exponential form is: 21 x 35 x 51 x 131 x 291 x 3311

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)(f + 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.

303,232,410 = 21 x 35 x 51 x 131 x 291 x 3311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)(f + 1)
Down Arrow
d(303232410) = (1 + 1)(5 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(303232410) = (2)(6)(2)(2)(2)(2)
Down Arrow
d(303232410) = 192

More numbers for you to try

Take a look at the factors page to see the factors of 303,232,410 and how to find them.

Try the factor calculator.

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