Q: What is the total or count of factors of the number 440,565,350?

 A: 24

How do I find the total factors of the number 440,565,350?

Step 1

Find the prime factorization of the number 440,565,350.

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

Factor Tree
440,565,350
Factor Arrows
2220,282,675
Factor Arrows
544,056,535
Factor Arrows
58,811,307
Factor Arrows
19463,753

The prime factorization in exponential form is: 21 x 52 x 191 x 463,7531

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.

440,565,350 = 21 x 52 x 191 x 463,7531
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(440565350) = (1 + 1)(2 + 1)(1 + 1)(1 + 1)
Down Arrow
d(440565350) = (2)(3)(2)(2)
Down Arrow
d(440565350) = 24

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Take a look at the factors page to see the factors of 440,565,350 and how to find them.

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