Q: What is the total or count of factors of the number 355,437,218?

 A: 32

How do I find the total factors of the number 355,437,218?

Step 1

Find the prime factorization of the number 355,437,218.

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

Factor Tree
355,437,218
Factor Arrows
2177,718,609
Factor Arrows
199,353,611
Factor Arrows
47199,013
Factor Arrows
712,803

The prime factorization in exponential form is: 21 x 191 x 471 x 711 x 2,8031

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.

355,437,218 = 21 x 191 x 471 x 711 x 2,8031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(355437218) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(355437218) = (2)(2)(2)(2)(2)
Down Arrow
d(355437218) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 355,437,218 and how to find them.

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