Q: What is the total or count of factors of the number 780,256?

 A: 24

How do I find the total factors of the number 780,256?

Step 1

Find the prime factorization of the number 780,256.

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

Factor Tree
780,256
Factor Arrows
2390,128
Factor Arrows
2195,064
Factor Arrows
297,532
Factor Arrows
248,766
Factor Arrows
224,383
Factor Arrows
37659

The prime factorization in exponential form is: 25 x 371 x 6591

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.

780,256 = 25 x 371 x 6591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(780256) = (5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(780256) = (6)(2)(2)
Down Arrow
d(780256) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 780,256 and how to find them.

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