Q: What is the total or count of factors of the number 256,385,412?

 A: 72

How do I find the total factors of the number 256,385,412?

Step 1

Find the prime factorization of the number 256,385,412.

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

Factor Tree
256,385,412
Factor Arrows
2128,192,706
Factor Arrows
264,096,353
Factor Arrows
321,365,451
Factor Arrows
37,121,817
Factor Arrows
32,373,939
Factor Arrows
3791,313
Factor Arrows
3263,771
Factor Arrows
1911,381

The prime factorization in exponential form is: 22 x 35 x 1911 x 1,3811

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.

256,385,412 = 22 x 35 x 1911 x 1,3811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(256385412) = (2 + 1)(5 + 1)(1 + 1)(1 + 1)
Down Arrow
d(256385412) = (3)(6)(2)(2)
Down Arrow
d(256385412) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 256,385,412 and how to find them.

Try the factor calculator.

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