Q: What is the total or count of factors of the number 222,100,000?

 A: 72

How do I find the total factors of the number 222,100,000?

Step 1

Find the prime factorization of the number 222,100,000.

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

Factor Tree
222,100,000
Factor Arrows
2111,050,000
Factor Arrows
255,525,000
Factor Arrows
227,762,500
Factor Arrows
213,881,250
Factor Arrows
26,940,625
Factor Arrows
51,388,125
Factor Arrows
5277,625
Factor Arrows
555,525
Factor Arrows
511,105
Factor Arrows
52,221

The prime factorization in exponential form is: 25 x 55 x 2,2211

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 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.

222,100,000 = 25 x 55 x 2,2211
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(222100000) = (5 + 1)(5 + 1)(1 + 1)
Down Arrow
d(222100000) = (6)(6)(2)
Down Arrow
d(222100000) = 72

More numbers for you to try

Take a look at the factors page to see the factors of 222,100,000 and how to find them.

Try the factor calculator.

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