Q: What is the total or count of factors of the number 2,253,550?

 A: 24

How do I find the total factors of the number 2,253,550?

Step 1

Find the prime factorization of the number 2,253,550.

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

Factor Tree
2,253,550
Factor Arrows
21,126,775
Factor Arrows
5225,355
Factor Arrows
545,071
Factor Arrows
133,467

The prime factorization in exponential form is: 21 x 52 x 131 x 3,4671

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.

2,253,550 = 21 x 52 x 131 x 3,4671
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(2253550) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(2253550) = (2)(3)(2)(2)
Down Arrow
d(2253550) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 2,253,550 and how to find them.

Try the factor calculator.

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