Q: What is the total or count of factors of the number 21,401,055?

 A: 24

How do I find the total factors of the number 21,401,055?

Step 1

Find the prime factorization of the number 21,401,055.

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

Factor Tree
21,401,055
Factor Arrows
37,133,685
Factor Arrows
32,377,895
Factor Arrows
5475,579
Factor Arrows
1336,583

The prime factorization in exponential form is: 32 x 51 x 131 x 36,5831

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.

21,401,055 = 32 x 51 x 131 x 36,5831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(21401055) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(21401055) = (3)(2)(2)(2)
Down Arrow
d(21401055) = 24

More numbers for you to try

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Take a look at the factors page to see the factors of 21,401,055 and how to find them.

Try the factor calculator.

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