Q: What is the total or count of factors of the number 223,003,331?

 A: 16

How do I find the total factors of the number 223,003,331?

Step 1

Find the prime factorization of the number 223,003,331.

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

Factor Tree
223,003,331
Factor Arrows
1713,117,843
Factor Arrows
23570,341
Factor Arrows
643887

The prime factorization in exponential form is: 171 x 231 x 6431 x 8871

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.

223,003,331 = 171 x 231 x 6431 x 8871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(223003331) = (1 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(223003331) = (2)(2)(2)(2)
Down Arrow
d(223003331) = 16

More numbers for you to try

Take a look at the factors page to see the factors of 223,003,331 and how to find them.

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