Q: What is the total or count of factors of the number 449,372?

 A: 24

How do I find the total factors of the number 449,372?

Step 1

Find the prime factorization of the number 449,372.

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

Factor Tree
449,372
Factor Arrows
2224,686
Factor Arrows
2112,343
Factor Arrows
716,049
Factor Arrows
111,459

The prime factorization in exponential form is: 22 x 71 x 111 x 1,4591

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.

449,372 = 22 x 71 x 111 x 1,4591
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(449372) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(449372) = (3)(2)(2)(2)
Down Arrow
d(449372) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 449,372 and how to find them.

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