Q: What is the total or count of factors of the number 440,268?

 A: 24

How do I find the total factors of the number 440,268?

Step 1

Find the prime factorization of the number 440,268.

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

Factor Tree
440,268
Factor Arrows
2220,134
Factor Arrows
2110,067
Factor Arrows
336,689
Factor Arrows
191,931

The prime factorization in exponential form is: 22 x 31 x 191 x 1,9311

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.

440,268 = 22 x 31 x 191 x 1,9311
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(440268) = (2 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(440268) = (3)(2)(2)(2)
Down Arrow
d(440268) = 24

More numbers for you to try

Take a look at the factors page to see the factors of 440,268 and how to find them.

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