Q: What is the total or count of factors of the number 356,411,536?

 A: 60

How do I find the total factors of the number 356,411,536?

Step 1

Find the prime factorization of the number 356,411,536.

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

Factor Tree
356,411,536
Factor Arrows
2178,205,768
Factor Arrows
289,102,884
Factor Arrows
244,551,442
Factor Arrows
222,275,721
Factor Arrows
131,713,517
Factor Arrows
13131,809
Factor Arrows
891,481

The prime factorization in exponential form is: 24 x 132 x 891 x 1,4811

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.

356,411,536 = 24 x 132 x 891 x 1,4811
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(356411536) = (4 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(356411536) = (5)(3)(2)(2)
Down Arrow
d(356411536) = 60

More numbers for you to try

Take a look at the factors page to see the factors of 356,411,536 and how to find them.

Try the factor calculator.

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