Q: What is the total or count of factors of the number 353,363,214?

 A: 16

How do I find the total factors of the number 353,363,214?

Step 1

Find the prime factorization of the number 353,363,214.

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

Factor Tree
353,363,214
Factor Arrows
2176,681,607
Factor Arrows
358,893,869
Factor Arrows
232,560,603

The prime factorization in exponential form is: 21 x 31 x 231 x 2,560,6031

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.

353,363,214 = 21 x 31 x 231 x 2,560,6031
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(353363214) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(353363214) = (2)(2)(2)(2)
Down Arrow
d(353363214) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 353,363,214 and how to find them.

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