Q: What is the total or count of factors of the number 201,218,904?

 A: 120

How do I find the total factors of the number 201,218,904?

Step 1

Find the prime factorization of the number 201,218,904.

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

Factor Tree
201,218,904
Factor Arrows
2100,609,452
Factor Arrows
250,304,726
Factor Arrows
225,152,363
Factor Arrows
38,384,121
Factor Arrows
32,794,707
Factor Arrows
3931,569
Factor Arrows
3310,523
Factor Arrows
2313,501
Factor Arrows
23587

The prime factorization in exponential form is: 23 x 34 x 232 x 5871

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.

201,218,904 = 23 x 34 x 232 x 5871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(201218904) = (3 + 1)(4 + 1)(2 + 1)(1 + 1)
Down Arrow
d(201218904) = (4)(5)(3)(2)
Down Arrow
d(201218904) = 120

More numbers for you to try

Take a look at the factors page to see the factors of 201,218,904 and how to find them.

Try the factor calculator.

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